Question -
Answer -
Given,
The first term (a) ofan A.P = 2
Let’s assume d bethe common difference of the A.P.
So, the A.P. will be2, 2 + d, 2 + 2d, 2 + 3d, …
Then,
Sum of first fiveterms = 10 + 10d
Sum of next five terms= 10 + 35d
From the question, wehave
10 + 10d = ¼ (10 +35d)
40 + 40d = 10 + 35d
30 = -5d
d = -6
a20 =a + (20 – 1)d = 2 + (19) (-6) = 2 – 114 = -112
Therefore, the 20th termof the A.P. is –112.