ARITHMATIC SEQUENCE AND SERIES

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the fixed amount that each term increases or decreases by in an arithmetic sequence.

Front

Find the 46th term of the arithmetic sequence 3, 8, 13, 18, 23, ...

Back

228

Front

What are the first 4 terms of an arithmetic sequence with a pattern of -6 if the first term is 76?

Back

76, 70, 64, 58

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term (a_n) can be calculated using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

Find the 12th term in the sequence 5, 7, 9, 11 ...

Back

27

Front

What is the common difference in the sequence -34, -29, -24, -19, ...?

Back

d = 5

Front

If the first term of an arithmetic sequence is 10 and the common difference is 3, what is the 5th term?

Back

The 5th term is 22.

Front

What is the sum of the first n terms of an arithmetic series?

Back

The sum (S_n) can be calculated using the formula: S_n = n/2 * (a_1 + a_n), where a_1 is the first term and a_n is the nth term.

Front

What is the 7th term of the arithmetic sequence 4, 9, 14, 19, ...?

Back

34