Search
You can find the results of your search below.
Fulltext results:
- Question 2, Exercise 4.2 @math-11-nbf:sol:unit04
- lutions of Question 2 of Exercise 4.2 of Unit 04: Sequence and Series. This is unit of Model Textbook of Mat... ==== Find the next three terms of each arithmetic sequence. 5,9,13,… ** Solution. ** Give: $$5, 9,... 25 \end{align*} Thus, the next three terms of the sequence are 17, 21, 25. =====Question 2(ii)===== Find the next three terms of each arithmetic sequence. 11,14,17,… ** Solution. ** Given: $$11
- Question 1 and 2, Exercise 4.4 @math-11-nbf:sol:unit04
- s of Question 1 and 2 of Exercise 4.4 of Unit 04: Sequence and Series. This is unit of Model Textbook of Mat... n. =====Question 1===== Determine whether each sequence is geometric. If so, find the common ratio. 5,20,100,500,… ** Solution. ** Given sequence is 5,20,100,500,….\\ A sequence is geometric if any two of its consecutive terms have same rati
- Question 1, Exercise 4.2 @math-11-nbf:sol:unit04
- lutions of Question 1 of Exercise 4.2 of Unit 04: Sequence and Series. This is unit of Model Textbook of Mat... ===== Find the first four terms of the arithmetic sequence with a1=4,d=3 ** Solution. ** Given: a1=4, d=3.\\ The general term of an arithmetic sequence is: an=a1+(n−1)d. Now \begin{align*} ... ===== Find the first four terms of the arithmetic sequence with a1=7, d=5 ** Solution. ** Given: $a_1
- Question 7 and 8, Exercise 4.2 @math-11-nbf:sol:unit04
- s of Question 7 and 8 of Exercise 4.2 of Unit 04: Sequence and Series. This is unit of Model Textbook of Mat... kistan. =====Question 7===== Which term of the sequence −6,−2,2,… is 70? ** Solution. ** Given −6,−2,2,… is an arithmetic sequence. Here a1=−6, d=−2+6=4, an=70, n=?. The nth term of the arithmetic sequence is given as an=a1+(n−1)d. This gives \begin
- Question 3 and 4, Exercise 4.4 @math-11-nbf:sol:unit04
- s of Question 3 and 4 of Exercise 4.4 of Unit 04: Sequence and Series. This is unit of Model Textbook of Mat... =====Question 3===== Determine whether the given sequence is geometric. If so, find the common ratio. \fra... 8}, \frac{81}{16}, \ldots ** Solution. ** Given sequence is \(\frac{3}{2}, \frac{9}{4}, \frac{27}{8}, \fra... o consecutive terms has same ratio.\\ Hence given sequence is geometric and common ratio r=32
- Question 5 and 6, Exercise 4.2 @math-11-nbf:sol:unit04
- s of Question 5 and 6 of Exercise 4.2 of Unit 04: Sequence and Series. This is unit of Model Textbook of Mat... kistan. =====Question 5===== Find an arithmetic sequence for a17=−40 and a28=−73, find a1 and d. Write first five terms of the sequence. ** Solution. ** The nth term of the arithmetic sequence is given as an=a1+(n−1)d Given \begin{align
- Question 21 and 22, Exercise 4.1 @math-11-nbf:sol:unit04
- of Question 21 and 22 of Exercise 4.1 of Unit 04: Sequence and Series. This is unit of Model Textbook of Mat... ict the general term or nth term, an, of the sequence. √2,√4,√6,√8,√10,… ** Solution. ** The given sequence is $$\sqrt{2}, \sqrt{4}, \sqrt{6}, \sqrt{8}, \sqr... ict the general term or nth term, an, of the sequence. 1.2,2.3,3.4,4.5,… ** Solution. ** The g
- Question 3 and 4, Exercise 4.2 @math-11-nbf:sol:unit04
- s of Question 3 and 4 of Exercise 4.2 of Unit 04: Sequence and Series. This is unit of Model Textbook of Mat... stion 3===== Find the 11th term of the arithmetic sequence 0.07,0.12,0.7,… ** Solution. ** Given $... ==Question 4===== The third term of an arithmetic sequence is 14 and the ninth term is -1 . Find the first four terms of the sequence. ** Solution. ** Given: a3=14 and $a_9 = -
- Question 8 and 9, Exercise 4.4 @math-11-nbf:sol:unit04
- s of Question 8 and 9 of Exercise 4.4 of Unit 04: Sequence and Series. This is unit of Model Textbook of Mat... n 8===== Find the next two terms of the geometric sequence: 90,30,10… ** Solution. ** Given sequence is geometric with a1=90 and $r=\dfrac{30}{90}=\dfr... n 9===== Find the next two terms of the geometric sequence: 2,6,18… ** Solution. ** Given seque
- Question 10 and 11, Exercise 4.4 @math-11-nbf:sol:unit04
- of Question 10 and 11 of Exercise 4.4 of Unit 04: Sequence and Series. This is unit of Model Textbook of Mat... 10===== Find the next two terms of the geometric sequence: 20,30,45… ** Solution. ** Given sequence is geometric with a1=20 and \(r=\frac{30}{20}=\... 11===== Find the next two terms of the geometric sequence: 729,243,81,… ** Solution. ** Given s
- Question 12 and 13, Exercise 4.4 @math-11-nbf:sol:unit04
- of Question 12 and 13 of Exercise 4.4 of Unit 04: Sequence and Series. This is unit of Model Textbook of Mat... 12===== Find the next two terms of the geometric sequence: 127,19,13,… ** Solution. ** Given sequence is geometric with a1=127 and \(r=\f... 13===== Find the next two terms of the geometric sequence: 14,12,−1,… ** Sol
- Unit 04: Sequences and Seeries @math-11-nbf:sol
- ====== Unit 04: Sequences and Seeries ====== This is a forth unit of the book "Model Textbook of Mathematics... tudents will be able to * Define an arithmetic sequence and find its general term. * Know arithmetic me... * Solve real life problems involving arithmetic sequence, arithmetic means and arithmetic series. * Define a geometric sequence and its general term. * Know geometric means be
- Question 19 and 20, Exercise 4.1 @math-11-nbf:sol:unit04
- of Question 19 and 20 of Exercise 4.1 of Unit 04: Sequence and Series. This is unit of Model Textbook of Mat... ict the general term or nth term, an, of the sequence. 1,3,5,7,9,… ** Solution. ** Given 1,3,5,7,9,… This is arithmetic sequence with a1=1, d=3−1=2. Thus $$a_n = a_1 + (n - ... ict the general term or nth term, an, of the sequence.3,9,27,81,243,… ** Solution. ** \begin{
- Question 5, 6 and 7, Exercise 4.4 @math-11-nbf:sol:unit04
- f Question 5, 6 and 7 of Exercise 4.4 of Unit 04: Sequence and Series. This is unit of Model Textbook of Mat... 5===== Find the first four terms of the geometric sequence.a1=3,r=−2 ** Solution. ** Given a1=3... 6===== Find the first four terms of the geometric sequence. a1=27,r=−13 ** Solution. ** Giv... 7===== Find the first four terms of the geometric sequence. a1=12,r=12 ** Solution. **
- Question 7 & 8, Exercise 4.6 @math-11-nbf:sol:unit04
- ons of Question 7 & 8 of Exercise 4.6 of Unit 04: Sequence and Series. This is unit of Model Textbook of Mat... c{1}{10}, \frac{1}{13}, \ldots $ is an arithmetic sequence. Here, a1=14, d=17...====Question8=====7,4,1, \ldots$ is arithmetic sequence, find the 17th term in H.P. ** Solution. ** Given 7,4,1,… is arithmetic sequence. Here a1=7, d=4−7=−3, n=17. The general