Chapter 11: Q35. (page 581)

Find the indicated term of each arithmetic sequence.
$a_{1} = 5, d = \frac{1}{3}, n = 12$

Short Answer

Expert verified

The indicated term of the arithmetic sequence is $\frac{26}{3}$ .

Step by step solution

Step 1. Given Information.

Given indicated term of arithmetic sequence is $a_{1} = 5, d = \frac{1}{3}, n = 12$

Step 2. Calculation.

The n^th term of an arithmetic sequence is given by $a_{n} = a_{1} + (n - 1) d$ .

Here the first term is $a_{1} = 5$

The common difference is $d = \frac{1}{3}$ $d = \frac{1}{3}$

And the required term is $n = 12$

Plugging the values in the formula:

localid="1648552814070" $\begin{array}{l} a_{n} = a_{1} + (n - 1) d \\ a_{12} = 5 + (12 - 1) (\frac{1}{3}) \\ a_{12} = 5 + (11) (\frac{1}{3}) \\ a_{12} = 5 + \frac{11}{3} \\ a_{12} = \frac{26}{3} \end{array}$

Step 3. Conclusion.

Hence, the indicated term of the arithmetic sequence is $\frac{26}{3}$ .

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Find the indicated term of each arithmetic sequence.
$a_{1} = 5, d = \frac{1}{3}, n = 12$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Find the indicated term of each arithmetic sequence.a1=5,d=13,n=12

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Find the indicated term of each arithmetic sequence.
$a_{1} = 5, d = \frac{1}{3}, n = 12$