is -150 a term of the AP 11,8,5,
2 dot dot dot dot
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A. P. = 11, 8, 5, 2 ......
For, - 150
An = a+ ( n - 1 ) d
-150 = 11 + ( n - 1 ) ( - 3 )
- 150 / - 3 = 11 + n - 1
50 = 10 + n
n = 50 - 10
n = 40.
Hence, An = 11 + ( 40 - 1 ) ( - 3 )
An = 11 - 39*3
An = 11 - 117
An = -106
Last term is - 106 and total number of terms are 40.
So, -150 is not the term of this A. P.
For, - 150
An = a+ ( n - 1 ) d
-150 = 11 + ( n - 1 ) ( - 3 )
- 150 / - 3 = 11 + n - 1
50 = 10 + n
n = 50 - 10
n = 40.
Hence, An = 11 + ( 40 - 1 ) ( - 3 )
An = 11 - 39*3
An = 11 - 117
An = -106
Last term is - 106 and total number of terms are 40.
So, -150 is not the term of this A. P.
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