Question Detail

MTH 101 Arithmetic Progression Objective Question

Question

In an AP, T_4 + T_8 = 24 and T_6 + T_{10} = 44. Find the first term a.
Options
A -13
Correct Answer
B -15
C -11
D -9
Correct Answer

Option A is the correct answer.

Detailed Explanation

We have 2a + 10d = 24 (so a + 5d = 12) and 2a + 14d = 44 (so a + 7d = 22). Subtracting gives 2d = 10, d = 5, and a = 12 - 25 = -13.

Hint

No hint available

Question Info