Find the sum of first 15multiplied of 8
Answers
Method of Solution;-
Let to be a is first term and 'd'" is common Difference and l is last term of Given Arithmetic Sequence or Progression;-
Arithmetic Sequence or Progression which are given below;-
Arithmetic Sequence or Progression;-
8,16,24,32....
Here,
First term= 8
CommOn Difference=8
Number of terms=15
We know that Formula of Summation of Arithmetic Sequence or Progression.
Sn=n/2(2a+(n-1)d)
S15=15/2(2x8+(15-1)8
=15/2(16+(14)8)
=15/2(16+112)
=15/2 x 128
=15 x 64
=960
Hence ,960 are sum of the first 15 multiples of 8.
The multiples of 8 are
8, 16, 24, 32…
These are in an A.P., having first term as 8 and common difference as 8.
Therefore, a = 8
d = 8
S15 = ?
Sn = n/2 [2a + (n - 1)d]
S15 = 15/2 [2(8) + (15 - 1)8]
= 15/2[6 + (14) (8)]
= 15/2[16 + 112]
= 15(128)/2
= 15 × 64
= 960