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Question

Find the 20th term from the last term of the AP :3,8,13,...,253.

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Solution

3,8,13,.....,253
d=83=5.

Writing this A.P. in reverse order
253,248,243,,13,8,5

Now, for the new A.P., we have
a=253
d=248253
d=5

We want to find 20th term, so n=20

By using nth term tn=a+(n1)d we have

a20=253+(201)(5)

120=253+(19)(5)

a20=25395=158

20th term from the last term =158.

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