Maths / Arithmetic Progression / Find The Value of Nth Term when Common Difference, Number of Terms and First Term are Given

QUESTION

Two AP's 45, 41, 37, ______________ and 5, 9, 13, ____________ have their kth terms same. Find the value of k.

 OPTIONS A. 6 B. 5 C. 4 D. None of these
Right Option : A

EXPLANATION
Explain TypeExplanation Content
Text

We know,45+(k-1)X(-4)=5+(k-1)X4

$\dpi{80} \fn_phv \large \Rightarrow 40=8(k-1)\Rightarrow (k-1)=5$

$\dpi{80} \fn_phv \large \therefore k=6$

Thus,6th term is common.

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