Next four terms in the arithmetic sequence: 12, 16, 20,...

listgrein6u

listgrein6u

Answered question

2022-09-11

Next four terms in the arithmetic sequence: 12, 16, 20,...

Answer & Explanation

Yaritza Cardenas

Yaritza Cardenas

Beginner2022-09-12Added 20 answers

We know that in an arithmetic progression we have a 1 = 12 , a 2 = 16 , a 3 = 20 and we're looking for a 4 . In a arithetic sequence the common difference is given by
d = a i a i 1
for 'any working i.'
So:
d = a 3 a 2 = 20 16 = 4
or as well
d = a 2 a 1 = 16 12 = 4
Now simply
a 4 = a 3 + d = 20 + 4 = 24

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