Step-by-step explanation:
Step 1: List down all the needed information.
d=2d=2
a_{1}=5a
1
=5
n =8n=8
Step 2: Use the formula of sum of arithmetic sequence.
S_{n} =\frac{n}{2}(2a_1+(n-1)d)S
n
=
2
(2a
+(n−1)d)
Where;
Step 3: Substitute.
S_{8} =\frac{8}{2}(2(5)+(8-1)2)S
8
(2(5)+(8−1)2)
S_{8} =4(2(5)+(7)2)S
=4(2(5)+(7)2)
S_{8} =4(10+14)S
=4(10+14)
S_{8} =4(24)S
=4(24)
S_{8} =96S
=96
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Answers & Comments
Step-by-step explanation:
Step 1: List down all the needed information.
d=2d=2
a_{1}=5a
1
=5
n =8n=8
Step 2: Use the formula of sum of arithmetic sequence.
S_{n} =\frac{n}{2}(2a_1+(n-1)d)S
n
=
2
n
(2a
1
+(n−1)d)
Where;
d=2d=2
a_{1}=5a
1
=5
n =8n=8
Step 3: Substitute.
S_{8} =\frac{8}{2}(2(5)+(8-1)2)S
8
=
2
8
(2(5)+(8−1)2)
S_{8} =4(2(5)+(7)2)S
8
=4(2(5)+(7)2)
S_{8} =4(10+14)S
8
=4(10+14)
S_{8} =4(24)S
8
=4(24)
S_{8} =96S
8
=96