Arithmetic series

Arithmetic series

Assessment

Flashcard

Mathematics

11th - 12th Grade

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an arithmetic series?

Back

An arithmetic series is the sum of the terms of an arithmetic sequence, where each term after the first is obtained by adding a constant difference to the previous term.

2.

FLASHCARD QUESTION

Front

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

Back

The formula is S_n = \frac{n}{2} \times (2a_1 + (n-1)d), where S_n is the sum, n is the number of terms, a_1 is the first term, and d is the common difference.

3.

FLASHCARD QUESTION

Front

If a_1 = 22, d = -8, and n = 21, what is S_n?

Back

S_n = -1218.

4.

FLASHCARD QUESTION

Front

Evaluate the arithmetic series: 2 + (-2) + (-6) + (-10)..., S_{10}.

Back

S_{10} = -160.

5.

FLASHCARD QUESTION

Front

What is the common difference in the series: 11 + 18 + 25 + 32...?

Back

The common difference d = 7.

6.

FLASHCARD QUESTION

Front

Back

The sum is 63.

7.

FLASHCARD QUESTION

Front

What is the nth term of an arithmetic sequence?

Back

The nth term can be calculated using the formula a_n = a_1 + (n-1)d.

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