Question

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

b. Check whether -150 is a term of the AP: 11, 8, 5, 2 ....

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Answer 1

l am explain 3b -

Step-by-step explanation:

noa^n=a+n-1×d 150= 11+ n-1×3 150=11+ n-3-1×-3 150=11-3n+3b n= 54.33

Answer 2

For the given, A.P. 11, 8, 5, 2, …

First term, a = 11

Common difference, d = a2 - a1 = 8 - 11 = -3

Let -150 be the nth term of this A.P.

As we know, for an A.P.,

an = a + (n - 1) d

-150 = 11 + (n - 1)(-3)

-150 = 11 - 3n + 3

-164 = -3n

n = 164/3

Clearly, n is not an integer but a fraction.

Therefore:

-150 is not a term of this A.P.

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