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Anna35 [415]
3 years ago
14

Find the specified value for the arithmetic sequences with the given characteristics. a17 = 47 d = -3 a35= ?

Mathematics
1 answer:
vovangra [49]3 years ago
6 0

ANSWER

The 35th term is -8

EXPLANATION

The nth term of an arithmetic sequence is given by

a_n = a_1 + d( n - 1)

We have the 17th term to be;

a_{17}=47

and the common difference is d=-3

We substitute to get:

47= a_1 +  - 3(1 7- 1)

47= a_1 + 16( - 3)

47= a_1 - 48

a_1  = 48 + 47 = 95

We can now find the 35th term:

a_{35}=a_{1} + 34d

a_{35}=95 + 34( - 3) =  - 8

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