Question

find the sum of the arithmetic sequence. 17, 19, 21, 23, ..., 35

Answer 1

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Answer 2

Hey Ma8 ,

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given ,

a1 = 17

a2 = 19

d = a2 - a1 = 19 - 17 = 2

An = 35

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An = a + (n - 1) d

35 = 17 + ( n - 1 ) 2

35 = 17 + 2n - 2

35 = 15 + 2n

n = 35 - 15 / 2

n = 20 / 2 = 10

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s = n/2 (a + a + (n -1)d)

s = n/2 (a + An)

s = 10/2 (17 + 35)

s = 5 × 52

s = 260

hence , sum of given AP 260

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