The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?

A: 14/13
B: 25/7
C: 4

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Respuesta :

absor201 absor201 · Answer 1 · 2019-11-29T15:16:10+01:00

C: 4 is the right answer

Step-by-step explanation:

Given

a1 = -3

a15 = 53

We know that explicit formula for the arithmetic sequence is:

[tex]a_n=a_1+(n-1)d[/tex]

For the 15th, term it will be

[tex]a_{15}=-3+(15-1)d\\53=-3+14d[/tex]

Adding 3 on both sides

[tex]53+3 = -3+3 + 14d\\56 = 14d[/tex]

Dividing both sides by 14

[tex]\frac{56}{14}=\frac{14d}{14}\\d=4[/tex]

Hence,

C: 4 is the right answer

Keywords: Arithmetic sequence, Common Difference

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jlynnmurphy1232 jlynnmurphy1232 · Answer 2 · 2020-12-08T07:34:14+01:00

Answer:

C) 4 is the correct answer

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