The first term of an A.P. is 5 and its 100th term is - 292. Find the 5

1.	The first term of an A.P. is 5 and its 100th term is - 292. Find the 50th term of this A.P.
Answer» Given, a = 5 a₁₀₀= - 292 5 – 99d = - 292 d = \(\frac{-297}{-99}\) = 3 Now, 50^th term, a₅₀ = a + (50 – 1) d = 5 + (49) 3 = 5 + 147 = 152 Hence, 50^th term of given A.P. is 152

The first term of an A.P. is 5 and its 100th term is - 292. Find the 50th term of this A.P.

Answer»

Given,

a = 5

a₁₀₀= - 292

5 – 99d = - 292

d = \(\frac{-297}{-99}\) = 3

Now, 50^th term,

a₅₀ = a + (50 – 1) d

= 5 + (49) 3 = 5 + 147 = 152

Hence, 50^th term of given A.P. is 152