Which term of the series 5, 8, 11, 14,.....is 320?
A.104th
B.105th
C.106th
D.64th
Answers
Answered by
8
Hi !!
AP = 5 , 8 , 11 , 14 ,.....
Here,
First term ( a ) = 5
Common difference ( d ) = 3
Tn = 320
a + ( n - 1 ) × d = 320
5 + ( n - 1 ) × 3 = 320
5 + 3n - 3 = 320
3n = 320 - 2
3n = 318
n = 106
Hence,
106th term of the given AP will be 320.
So,
Option ( C ) is the correct answer.
AP = 5 , 8 , 11 , 14 ,.....
Here,
First term ( a ) = 5
Common difference ( d ) = 3
Tn = 320
a + ( n - 1 ) × d = 320
5 + ( n - 1 ) × 3 = 320
5 + 3n - 3 = 320
3n = 320 - 2
3n = 318
n = 106
Hence,
106th term of the given AP will be 320.
So,
Option ( C ) is the correct answer.
Similar questions