check whether 201 is a term of the list of a number 5,11,17,23
Answers
201 doesn't comes in the series
•5,11,17,23
•Clearly It is an AP with a =5 & d =6
•Now, let 201 comes in the series and it's the nth term
•so, An= a+(n-1)d
• 201 = 5 + (n-1)6
•196 = (n-1)6
•(n-1) = 196/6
•(n-1) = 32.66
• n = 33.66
•Since n can only be natural no.
•so 201 doesn't comes in the series
201 is not a term of the list of a number 5,11,17,23
Step-by-step explanation:
T₁ = 5
T₂ = 11
T₃ = 17
T₄ = 23
First term = 5
d = Common difference = 11 - 5= 6
Tₙ = 5 + (n - 1) 6 n ∈ Z
=> Tₙ = 6n - 1
if 201 is a term of the list of a number 5,11,17,23
=> 6n - 1 = 201
=> 6n = 202
=> n = 101/3
101 is not divisible by 3
hence n is not integer
=> 201 is not a term of the list of a number 5,11,17,23
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