Question

Find the 10th term from the end of the A.P. 4,9,14,....254.

Answer 1

SOLUTION

We have,

We have,last term l=254

common difference= 5

Now,

10th term from the end= l- (10-1)d

=) 254-(9)5

=) 254- 45

=) 209

hope it helps ☺️

Answer 2

First term ( a) = 4

Common difference (d) = 9-4 = 5 .

Now,

a+(n-1)d = 254

4+(n-1)5 = 254

5(n-1)=254

n-1=50

n = 51 .

So, now 10th term from the end means ( 51-10+1) = 42th term from the beginning.

42th term = 4 + (42-1)5 = 4+(41)5 = 4+ 205 = 209 .

Therefore, 10 th term from the end is 209