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Chapter 12: Q. 1 (page 816)

In a(n) __________ sequence, the difference between successive terms is a constant.

Short Answer

Expert verified

The solution is arithmetic.

Step by step solution

01

Step 1. Given information

The difference between successive terms is a constant.

02

Step 2. Calculation

When the difference between successive terms of a sequence is always the same number, the sequence is called arithmetic. For example -

$1, 4, 7, 10, 13, 16, 19, . . . . . .$

So, in a(n) arithmetic sequence, the difference between successive terms is a constant.

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Most popular questions from this chapter

How much do you need to invest now at $5 %$ per annum compounded monthly so that in 1 year you will have $$ 10000$ ?

In Problems 51–60, write out each sum.

$\sum_{k = 1}^{n} \frac{k^{2}}{2}$

In Problems 17–28, write down the first five terms of each sequence.

$\{t_{n}\} = \{\frac{{(- 1)}^{n}}{(n + 1 (n + 2)}\}$

If $$ 1000$ is invested at $4 %$ per annum compounded semiannually, how much is in the account after 2 years?

In Problems 29–36, the given pattern continues. Write down the nth term of a sequence $\{a_{n}\}$ suggested by the pattern.

$1, \frac{1}{2}, \frac{1}{4}, \frac{1}{8}, . . .$

See all solutions

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