Question

If the first term of an ap is x and common difference is y then nth term of an ap is??

Answer 1

Mark it as brainliest answer
a_n=x+(n-1)y

Answer 2

nth term of AP is​  x + (n-1)y or x - y + ny   if  first term of an A.P. is x and common difference is y

Given:

• An AP
• First term = x
• Common Difference = y

To Find:

• nth term of AP

Solution:

Arithmetic sequence

Sequence of terms in which difference between one term and the next is a constant.

This is also called Arithmetic Progression AP

Arithmetic sequence can be represented in the form :

a, a + d  , a + 2d , …………………………, a + (n-1)d

a = First term

d = common difference = aₙ-aₙ₋₁

nth term =  aₙ =  a + (n-1)d

Step 1:

First term = a  = x

Common difference  d = y

Step 2:

Use formula for nth term  aₙ =  a + (n-1)d    and substitute a = X and d= Y

aₙ =  x + (n-1)y

=>  aₙ = x - y + ny

Hence, nth term of AP is​  x + (n-1)y or x - y + ny   if  first term of an A.P. is x and common difference is y