Introduction to Arithmetic Sequence

Q.

What is a term to term rule?

Q.

Is the sequence "$4,16,36,64,...$ arithmetic?

Q.

The arithmetic operations of addition, subtraction, multiplication, and division help us solve mathematical problems.

1. True
2. False

Q. Analyze the pattern and obtain the next term.

71, 65, 59, 53, 47

Q. When the successive term in a numerical pattern is formed by adding a (constant/ non-constant) value to the previous term, an arithmetic sequence is obtained.

Q. Identify the arithmetic sequence(s).

1. $4^2,5^2,6^2,7^2,8^2$
2. $\sqrt{25},\sqrt{36},\sqrt{49},\sqrt{64},\sqrt{81}$
3. $1^2+2^2,3^2+4^2,3^2+6^2,4^2+7^2$
4. $25,31,37,43,49$

Q. An arithmetic sequence is obtained when we add a fixed constant value to the previous term to get the successive term.

1. True
2. False

Q. Determine the $6^{th}$ term of the following pattern.

$42,59,76,93$

1. $110$
2. $127$
3. $144$
4. This is not a pattern.

Q. Identify whether the given pattern is an arithmatic pattern or not. Answer in Yes/No.

57, 62, 72, 87, 107