Question

find the 101st term of A.P 5, 11, 17​

Answer 1

The 101st term of the A.P is 605.

Given,

An arithmetic progression 5, 11, 17,...

To Find,

The 101st term of the A.P.

Solution,

The formula for calculating the nth term of an A.P is

aₙ = a+(n-1)d

In the given A.P

a = first term of the A.P = 5

d = common difference = 11-5 = 6

n = 101

Now,

a₁₀₁ = a+(101-1)d

a₁₀₁ = 5+(100)6

a₁₀₁ = 5+600 = 605

Hence, the 101st term of the A.P is 605.

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Answer 2

Given :

• given A.P is 5 , 11 , 17 ...
• first term a1 = a = 5

to find : 101th term  

solution :

nth term of A.P is $an = a+(n-1)d$

d = common difference = a2 - a1

$d=11-5=6$

n = 101

$= > an=a+(n-1)d\\= > a101=5+(101-1)6\\= > a101= 605$

Hence , 101st term of given A.P is 605

#SPJ2