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Solved Examples
Curriculum:
Arizona Academic Content Standards
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Topic:
Sequences and Series
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Lesson:
3.1.PO 1-3: Arithmetic Series
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Attempt following question by selecting a choice to answer.
B
∑
k=1
8
(5
k
+ 13) = ?
f B
A.
B
284
B.
B
384
C.
B
276
D.
B
1136
B
A
View Solution Steps
Step 1:
a
k
= 5
k
+ 13
Step 2:
a
1
= 5(1) + 13 = 18;
a
8
= 5(8) + 13 = 53[Substitute the values.]
Step 3: S
n
=
n
[
a
1
+
a
n
]
2
[Sum of first
n
terms.]
Step 4: S
8
=
8[18+53]
2
[Substitute the values.]
Step 5: S
8
= 4(71) = 284
Step 6: So,
∑
k=1
8
(5
k
+ 13) = 284
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