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Q.

The $21 s t$ term of the AP whose first two terms are –3 and 4 is

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a

-143

b

137

c

120

d

115

answer is B.

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Detailed Solution

Given, the first two terms of the AP are –3 and 4.
So, according to the question,

a = - 3

,

d = 4 − − 3 d = 7

Putting the values of a and d in the equation

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

to get the 21st term.

a n = − 3 + 21 − 1 7 = − 3 + 140 = 137

As, 21st term is 137.
Therefore, the correct option is 2.

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The 21 st term of the AP whose first two terms are –3 and 4 is