Mathematics: Find the first term of the arithmetic sequence in which a38= -5 and the common difference is -2.9

Find the first term of the arithmetic sequence

joshhowze1896

10.03.2022

102.3

Step-by-step explanation:

a_38 = -5

difference d= -2.9

We use general formula

a_n = a_1 + (n-1)d

WE make the formula for a_38 th term

Plug in 38 for n

$a_{38} = a_1 + (38-1)d$

Now plug in -2.9 for d and -5 for a_38

-5 = a_1 + (38-1)(-2.9)

-5 = a_1 - 107.3

Now add 107.3 on both sides

102.3 = a_1

option A is correct

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ehejndjed

08.06.2020

102.3 Hope that helps

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clarkster112679

25.01.2022

Step-by-step explanation:

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