Question

which term of the arithmetic progression 3 10 17 will be 84 more than its 13th term

Answer 1

common difference is equal to 10 - 3 which is equal to 7 and 13 term is equal to

Answer 2

Answer:

24 the term of the A.P

Step-by-step explanation;

Given,

3, 10, 17,.........84+a13

Apply formula of A.P

an = a + (n-) d

where,

an is the nth term of the A.P

a = first term of the A.P = 3

d= Common Difference= 7

n= no. of term in the A.P

13th term,

a13 = 3+ (13-1)*7

a13 = 3+ 12*7

a13 = 3+84 = 87

13th term is 87.

Now, n= ?

84+ a13 = 3+(n-1)*7

171 = 3 + (n-1) *7

171-3 = (n-1)*7

168/7 = n-1

24 = n

Hence 24th term of the A.P will 84 more than 13th term.