Find the sum of the arithmetic sequence 8, 14, 20 …, if there are 24 terms

Chelsea Lamb 2022-09-26 Answered
Find the sum of the arithmetic sequence 8, 14, 20 …, if there are 24 terms
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Answers (1)

Ashlynn Delacruz
Answered 2022-09-27 Author has 9 answers
The sum to n terms of an arithmetic sequence is found by using
S n = n 2 [ 2 a + ( n - 1 ) d ]
where a , is the first term and d , the common difference
here a = 8 and d = 14 - 8 = 20 - 14 =.......= 6
hence S 24 = 24 2 [ ( 2 × 8 ) + ( 23 × 6 ) ]
= 12[ 16 + 138 ] = 12( 154) = 1848
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