Question
Find:
$8^{th}$ term of the A.P. $117, 104, 91, 78$, ......
$8^{th}$ term of the A.P. $117, 104, 91, 78$, ......
✓
Answer
Given,
$\text { A.P. } 117,104,91,78, \ldots . . .$
Here,
First term (a) = 117
Common difference of the A.P. (d) = 104 - 117
$=-13$
Now, as we know,
$a_n=a+(n-1) d$
So, for $8^{\text {th }}$ term.
$a_8=a+(8-1) d$
$=117+(7)(-13)$
$=117-91$
$=26$
Therefore, the $8^{\text {th }}$ term of the given A.P. is $a _8=26$.
$\text { A.P. } 117,104,91,78, \ldots . . .$
Here,
First term (a) = 117
Common difference of the A.P. (d) = 104 - 117
$=-13$
Now, as we know,
$a_n=a+(n-1) d$
So, for $8^{\text {th }}$ term.
$a_8=a+(8-1) d$
$=117+(7)(-13)$
$=117-91$
$=26$
Therefore, the $8^{\text {th }}$ term of the given A.P. is $a _8=26$.
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