Chapter 11: Q36. (page 581)

Find the indicated term of each arithmetic sequence.
$a_{1} = \frac{5}{2}, d = - \frac{3}{2}, n = 11$

Short Answer

Expert verified

The indicated term of the arithmetic sequence is $- \frac{25}{2}$ .

Step by step solution

Step 1. Given Information.

Given indicated term of arithmetic sequence is $a_{1} = \frac{5}{2}, d = - \frac{3}{2}, n = 11$

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 $a_{1} = \frac{5}{2}$

The common difference is $d = - \frac{3}{2}$

And the required term is $n = 11$

Plugging the values in the formula:

$\begin{array}{l} a_{n} = a_{1} + (n - 1) d \\ a_{11} = \frac{5}{2} + (11 - 1) (- \frac{3}{2}) \\ a_{11} = \frac{5}{2} + (10) (- \frac{3}{2}) \\ a_{11} = \frac{5}{2} - \frac{30}{2} \\ a_{11} = - \frac{25}{2} \end{array}$

Step 3. Conclusion.

Hence, the indicated term of the arithmetic sequence is $- \frac{25}{2}$ .

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Find the indicated term of each arithmetic sequence.
$a_{1} = \frac{5}{2}, d = - \frac{3}{2}, n = 11$

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=52,d=−32,n=11

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.
$a_{1} = \frac{5}{2}, d = - \frac{3}{2}, n = 11$