Question

Find a formula for the nth term of the arithmetic sequence first term -17 common difference 5

Answer 1

Given :-

• First term of an AP is -17 .
• Common difference is 5 .

To Find :-

• The formula for the nth term .

Solution :-

We know that the nth term of an AP is given by ,

$T_n = a +(n-1)d$

where ,

• a is the First term .
• n is the number of the term .
• d is the common difference .
• T_n is the nth term .

On substituting the respective values we have ,

$T_n = -17 + (n -1)5$

Open the brackets ,

$T_n = -17 + 5n - 5$

Simplify ,

$T_n = 5n -22$

Hence the nth term of the AP is given by 5n -22.

I hope this helps.