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Find the common difference of the arithmetic sequence 25, 31, 37, 43, ...OA.-5B. -6OC. 6OD. 8Reset Selection

Find the common difference of the arithmetic sequence 25, 31, 37, 43, ...OA.-5B. -6OC-example-1
User Ron Garrity
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1 Answer

19 votes
19 votes

Solution:

Given the sequence:


25,\text{ 31, 37, 43, . . .}

Provided that the sequence is arithmetic, to evaluate the common difference, we subtract a preceding term from its succeeding term.

This implies that


\begin{gathered} d=a_2-a_1\text{ or a}_3-a_2 \\ where \\ d\Rightarrow common\text{ difference} \\ a_2\Rightarrow second\text{ term} \\ a_1\Rightarrow first\text{ term} \end{gathered}

In this case,


\begin{gathered} a_1=25 \\ a_2=31 \\ \end{gathered}

Thus, we have


\begin{gathered} d=a_2-a_1 \\ =31-26 \\ \Rightarrow d=6 \end{gathered}

The common difference is thus 6

The correct option is

Find the common difference of the arithmetic sequence 25, 31, 37, 43, ...OA.-5B. -6OC-example-1
User Seertaak
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