Question

the first term of an Ap is 5 and it's 100th term is minus 292find 50th term of this ap
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Answer 1

Answer: 152

Step-by-step explanation:

- 292 = 5 + (100 - 1) d

d = -297 / 99

d = 3

thus,

50th term = 5 + 49 * 3

                  = 5 + 147

                   = 152

Answer 2

let the ap be a , a+d, a+2d ,.....,a+nd.

here, a1=5,

a100=-292

we have, an=a1+(n-1)d

a100=a1+(100-1)d

-292-5=99d,

-297=99d..

d=-297

99

d=-3

Also,

a50=a1+(50-1)d=5+49(-3)

=5+(-147)=5-147

-142❤️

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