3 years ago

-2, 5, 12, 19, what is the common difference

Mathematics

1 answer:

trapecia [35]3 years ago

8 0

Answer:7

Step-by-step explanation:

There is a gap of 7 in between each number

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3 years ago

Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?

Degger [83]

The recursive formula $a_n = a_{n-1}-6$ can be used to generate the shown sequence

Step-by-step explanation:

Recursive formula is the formula that is used to generate the next term of a sequence using previous term.

The general form of arithmetic sequence's recursive formula is:

$a_n = a_{n-1}+d$

Given

5,-1,-7,-13,-19

Here

$a_1 = 5\\a_2 = -1\\a_3 = -7$

First of all we have to find the common difference of the sequence.

So,

$d = a_2 -a_1 = -1-5 = -6\\d = a_3-a_2 = -7+1 = -6$

Putting the value of d in the general recursive formula

$a_n = a_{n-1}-6$

Hence,

The recursive formula $a_n = a_{n-1}-6$ can be used to generate the shown sequence

Keywords: Sequence, arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

8 0

3 years ago

Read 2 more answers