x, x+a,x+2a,...... find the term of AP
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1
Step-by-step explanation:
As given, sequence is a,2a−1,3a−2.....
The first term (a) =a
The difference between two consecutive term (d) =7
Number of terms (n) =16
As the first term in the sequence above is equal to a and each term there after is 7 greater than the first term.
i.e: (2a−1)−a=7 ; a=8
Applying Arithmetic Progression formula for n
th
term,
A
n
=a+(n−1)dA
16
=8+(16−1)7
A
16
=8+105=113
Hence, option A is correct.
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