Maths / Arithmetic Progression / Finding The Value of N When Nth Term and AP is Given

QUESTION
 

What is the value of 9th term of an AP Series whose 6th term and 12th terms are 32 and 56, respectively?

OPTIONS
A. 

42

B. 

44

C. 

34

D. 

None of these

Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

Given that ,6thg term LARGE left ( a_6 right )=32

LARGE Rightarrow a+(6-1)d=32

LARGE Rightarrow a+5d=32

and 12th term LARGE left ( a_1_ _2right )56

LARGE Rightarrow a+(12-1)d=56

On adding Eqs.(1) and (2),we get

LARGE Rightarrow 2a=16d=88

LARGE Rightarrow a+8d=44

LARGE therefore a_9=a+(9-1)d

=a+8d=44

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