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

Question

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

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Owen Discussed

Find the

20

th term from the last term of the AP

: 3, 8, 13, ..., 253.

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

3, 8, 13, ....., 253

d = 8 - 3 = 5

Writing this A.P. in reverse order

253, 248, 243, \dots, 13, 8, 5

Now, for the new A.P., we have

a = 253

d = 248 - 253

d = - 5

We want to find

20

th term, so

n = 20

By using nth term

t_{n} = a + (n - 1) d

we have

a_{20} = 253 + (20 - 1) (- 5)

\Rightarrow 1_{20} = 253 + (19) (- 5)

\Rightarrow a_{20} = 253 - 95 = 158

2 0^{t h}

term from the last term

= 158

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Question Text	Find the $20$ th term from the last term of the AP $: 3, 8, 13, ..., 253.$
Answer Type	Text solution:1
Upvotes	150