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The 4th term of an AP is 9 and the 9th term is 4. Which value does $a_{13}$ take?

Class 10Properties and Selection of AP TermsAlgebra — Sequences

A0
B1
C−1
D13

Step-by-Step Solution

5 d = 4 - 9 = - 5

, so

d = - 1

and

a = 9 + 3 = 12. a_{13} = 12 + 12 (- 1) = 0

. (In general if

a_{p} = q

and

a_{q} = p

, then

a_{p + q} = 0.

)

Answer: A) 0

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