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3 years ago

Find the 57th term of the arithmetic sequence -13, -29, -45, ...

Mathematics

2 answers:

valina [46]3 years ago

5 0

Answer: the 57 the term is - 909

Step-by-step explanation:

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = - 13

d = - 29 - - 13 = - 45 - - 29 = - 16

n = 57

We want to determine the value of the 57th term, T57. Therefore,

T57 = - 13 - 16(57 - 1)

T57 = - 13 - 896

T57 = - 909

lora16 [44]3 years ago

5 0

The answer is 57 and the term is -909

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