if an=5n-2, then s4 is
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Answer:
considering
an=5n-2
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Answer:-
Given:-
an = 5n -2
To Find:-
The s4 term
Solution:-
Putting n = 1, 2 ,3 in 5n-1 , we get
a1 = 5 ×1 -2= 5-2= 3
a2 = 5 × 2 - 2 = 10 -2 = 8
a3 = 5 × 3 -2 = 15 -2 = 13
so,
1st term (a1 ) = 3
2nd term ( a2 ) = 8
3rd term (a3) = 13
Common difference = a2 -a1
d = 8 -3
d = 5.
s4 = n/2 [ 2a+ ( n-1)d]
s4 = 4/2 [ 2×3 + ( 4-1)5]
s4 = 2 [ 6 + 3 ×5 ]
s4 = 2[ 6 + 15]
s4 = 2[ 21]
s4 = 42
Therefore , the s4 term of the ap is 42.
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