Find the 21st term of the Arithmetic Progression (A.P.): -4, -1.5, 1, 3.5,...
43.5
46
48.5
51
Correct answer is B
\(T_{n} = a + (n-1)d\)
\( d = T_{2} - T_{1} = T_{3} - T_{2} = -1.5 - (-4) = 2.5\)
\(T_{21} = -4 + (21 - 1) \times 2.5 = -4 + (20\times 2.5) \)
= \(-4 + 50 = 46\)