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Generating Patterns, Arithmetic Sequence and Series

Total questions: 10

Worksheet time: 27mins

Name
Class
Date
1.

Find the general term of the sequence

2, 8, 14, 20, 26, …

4 lines
2.

What is the sum of all the odd integers between 8 and 56?

4 lines
3.

Find the 51st term of the sequence an=(1)n(2n1)2a_n=\frac{\left(-1\right)^n\left(2n-1\right)}{2}   .

4 lines
4.

If there are six arithmetic means between 15-\frac{1}{5}   and -3, what is the 2nd mean?

4 lines
5.

What is the sum of all the multiples of 3 from 15 to 48?

4 lines
6.

What is the arithmetic mean between 12\frac{1}{2}   and 2?

4 lines
7.

The sequence 12, 13, 14, 15, ...\frac{1}{2},\ \frac{1}{3},\ \frac{1}{4},\ \frac{1}{5},\ ...   is an arithmetic sequence.

a)

True

b)

False

8.

Find the arithmetic means between 87 and -12 such that the sum of the resulting sequence is 150.

4 lines
9.

Find p so that the numbers 7p+2, 5p+12, 2p-1, … form an arithmetic sequence.

4 lines
10.

Find the sum of the first 15 terms of the arithmetic sequence whose general term is an=5n+3a_n=5n+3  .

4 lines