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3 years ago

Find an equation for the nth term of the arithmetic sequence. -17, -14, -11, -8, ...

Mathematics

2 answers:

igomit [66]3 years ago

7 0

Common difference (d) = - 14-(-17)

d = -14+17
d = 3...

Tn = -17+(n-1)3

Tn = - 17+3(n-1)

Option a is correct.....

ValentinkaMS [17]3 years ago

3 0

Answer: $a_n=-17+3(n-1)$

Step-by-step explanation:

Given : Arithmetic sequence : -17, -14, -11, -8, ...

Here the first term , $a_1=-17$

Common difference : $d=-14-(-17)=3$

The formula to find the nth term is given by :-

$a_n=a_1+d(n-1)$

i.e. $a_n=-17+3(n-1)$

Hence, the equation for the nth term of the arithmetic sequence :-

$a_n=-17+3(n-1)$

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