1.

Check whether -150 is a term of the A.P: 11, 8, 5, 2, ………..

Answer»

11, 8, 5, 2, ……….. -150

a = 11, d = 8 11 = -3. an = -150.

a + (n – 1) d = an

11 + (n – 1) (-3) = -150

11 – 3n + 3 = -150

-3n + 14 = -150

-3n = -150 – 14

-3n = -164

3n = 164

∴ n = \(\frac{164}{3}\)

Here value of ‘n’ is not perfect. 

Hence -150 is not a term of the A.P.



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