Write the first five terms of the arithmetic sequence. a4 = 22, a10 = 64

Question

Mathematics

Angelica Reeves

3 April, 19:58

Write the first five terms of the arithmetic sequence. a4 = 22, a10 = 64

+5

Answers (1)

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Stella Walsh · Answer 1

Hello:

the general term is:

an = a1 + (n-1) * d

or : an = ap + (n-p) * d ... d is common diffrence

let : n=10 and p = 4

a10 = a4 + (10-4) * d

64 = 22 + 6d

6d = 42

d = 7

conclusion:

a4 = 22

a3 = 22-7=15

a2=15-7=8

a1 = 8-7=1

the first five terms : 1, 8, 15, 22