Question

which term of the AP,5,13,21,.............is 181????

Answer 1

Heya !!!


AP = 5 , 13 , 21 ...... 181

Here,


First term (A) = 5


Common Difference (D) = 8



Tn = 181


A + (N-1) × D = 181



5 + (N-1) × 8 = 181




5 + 8N -8 = 181




8N -3 = 181



8N = 181+3



8N = 184


N = 184/8


N = 23



Hence,

23 term of the given AP will be 181.





HOPE IT WILL HELP YOU.... :-)

Answer 2

181 is 23rd term of given A.P.

Given:

• An A.P.
• 5, 13, 21, ...

To find:

• Which term is 181 ?

Solution:

Formula to be used:

General term of an A.P.: $\bf \red{a_n = a + (n - 1)d }$

where a is first term, d is common difference.

Step 1

Write the required terms.

It is clear that;

First term (a)= 5

Common difference (d)= 13-5= 8

General term $\bf a_n$ : 181

Step 2:

Put the values in the formula and find value of n.

$181 = 5 + (n - 1)8$

or

$8(n - 1) = 181 - 5$

or

$8(n - 1) = 176$

or

$n - 1 = \frac{176}{8}$

or

$n - 1 = 22$

or

$n = 22 + 1$

or

$\bf \red{n = 23 }$

Thus,

181 is 23rd term of given A.P.

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