Series And Induction worksheets
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To find the next term in an arithmetic sequence…
add the common difference d
multiply by the common ratio r
To find the next term in a geometric sequence…
add the common difference d
multiply by the common ratio r multiply by the common ratio r
How many terms are in the sequence?
6
7
3
2
Evaluate Sn:
28 + 35 + 42 + 49 + ..., n = 10
(Hint: is this arithmetic or geometric?)
2384
595
1192
1190
Evaluate S8:
2 + 6 + 10 + 14 + ...
128
494
256
255
Evaluate S12 for the arithmetic series where:
a1=?, a12=48, and d=4
310
312
620
624
The sum of this arithmetic series is 595. a1=28, and an=91. How many terms are there (what is n)?
9
10
11
12
1+1/2+1/4+1/8+1/16+...
S6 for (-4/5) + 8 + (-80) + 800 + ....
Find the sum of a geometric series where
a1=4, r = -2 , an = 16,384
-10,921.3333333
10,922
10,924
-10,924
Evaluate the sum of the geometric series:
-1 + 5 - 25 + 125 + ... + 78,125
65104
56732
-1/6
65816
Evaluate sum S8:
a1=?, a8=839,808, r= -6
717456
719835
665624
668938
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