In an AP of festival bonuses, the sum of the 4th and 8th bonuses is Rs 24, and the sum of the 6th and 10th bonuses is Rs 44. Find the first bonus (1st term).
Class 10AP Word ProblemsAlgebra — Sequences
ARs -13
BRs -10
CRs -7
DRs -16
Step-by-Step Solution
a4+a8=2a+10d=24; a6+a10=2a+14d=44. Subtract: 4d=20,d=5. Then 2a+50=24,2a=−26,a=−13.
Answer: A) Rs -13
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