Question

Find k , if the given value of x is the Kth term of given A.p - 5 1/2, 11,16 1/2,22........,x=550

Answer 1

Here is the required answer

Answer 2

Answer:

The value of k is 100.

Step-by-step explanation:

Given : If the given value of x is the Kth term of given A.P $5\frac{1}{2},\ 11,\ 16\frac{1}{2},\ ..$ ; x=550

To find : The value of k?

Solution :

The A.P $5\frac{1}{2},\ 11,\ 16\frac{1}{2},\ ..$

The first term is $a=5\frac{1}{2}=\frac{11}{2}$

The common difference is $11-\frac{11}{2}=\frac{11}{2}$

x is the kth term of an A.P

i.e. $x=a+(k-1)d$

Substitute the value in the formula,

$550=\frac{11}{2}+(k-1)\frac{11}{2}$

$550=\frac{11}{2}(1+k-1)$

$k=\frac{550\times 2}{11}$

$k=100$

Therefore, The value of k is 100.