3 years ago

Solve for the variable -3/4b = 2

Mathematics

1 answer:

notka56 [123]3 years ago

7 0

Answer:

b = 2.666.......

Step-by-step explanation:

$-\frac{3}{4} b = 2$

------ -----

$-\frac{3}{4}$ $-\frac{3}{4}$

b = 2.666.....

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Step-by-step explanation:

We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27

In the given sequence First term a₁= -1

Common difference d = 7

Finding Recursive Formula

The recursive formula is of type: $a_1= First \ term$ and $a_n=a_{n-1}+d$

Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula for given arithmetic sequence will be:

$a_1=-1 ; \ \ a_n=a_{n-1}+7$

Finding Explicit Formula

The explicit formula is of type: $a_n=a_1+(n-1)d$

We have

First term a₁= -1

Common difference d = 7

So, explicit formula will be:

$a_n=-1+(n-1)7\\a_n=-1+7n-7\\a_n=7n-8$

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