Question

Find the 110th term for the following sequence
4, 9, 14, 19, 24,..

Answer 1

549

Explanation:

Given :-

• A sequence 4 , 9 , 14 , ...

And we need to find out the 110th term . the given sequence is in Arithmetic progression . So the common difference is 9 -4 = 5 . Now using the formula to find out the nth term of AP ,

Using formula :-

`:\implies` T_n = a + ( n -1)d

`:\implies` T_n = 4 + (110-1)5

`:\implies` T_110 = 4 + 109*5

`:\implies` T_110 = 4 + 545

`:\implies` T_110 = 549 .

Hence the 110 th term is 549 .