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Arithmetic Sequence & Series

Total questions: 10

Worksheet time: 19mins

Name
Class
Date
1.
Is the sequence arithmetic: 17, 9, 1, -7, ...
a)
Yes
b)
No
2.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
3.

Create the explicit formula for the sequence:

2, 8, 14, ...

a)

an = 2 + 6n

b)

an = -6 + 6n

c)

an = 6n - 4

d)

an = 4 - 6n

4.
The next two terms of the sequence 4,7,10,13 are ....
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
5.
Find the 22nd term of the following sequence:
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
6.
Find the 25th term of the sequence if a1 = 5 and d = 0.5
a)
18
b)
17
c)
15
d)
14
7.

Find the sum of the arithmetic series described:

2 + (-2) + (-6) + (-10)..., S10

a)

-160

b)

-328

c)

-320

d)

-336

8.

The sequence 28, 34, 40, 46, 52, ..., 88 has 11 terms. Find the sum of the 11 terms.

a)

550

b)

638

c)

610

d)

288

9.
Find Sn for the given series:
a1=22
d=-8
n=21
a)
1911
b)
-1449
c)
-2436
d)
-1218
10.

Find the sum of the first 100 odd numbers

a)

2500

b)

5000

c)

10000

d)

100000