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Sladkaya [172]
3 years ago
11

What is D of the arithmetic sequence for which a5 equals 24 and a9 equals 40

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

In an arithmetic sequence d represent the common difference.

The formula to find the general term of an arithmetic sequence is,

a_{n} =a_{1} +(n-1)d

Where a_{n}= nth term and

a_{1} = First term.

Given, a_{5} = 24, a_{9} = 40. Therefore,

a_{1} +(5-1)d = 24  , a_{1} +(9-1)d = 40

a_{1} +4d = 24  , a_{1} +8d = 40

Next step is to subtract the above equations so that we can eliminate a1 and get the value of d. Hence,

4d - 8d = 24 - 40

-4d = - 16

\frac{-4d}{-4}= \frac{-16}{-4} Divide each sides by - 16.

d = 4

So, d = 4.

Hope this helps yoi!.

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