All categories

3 years ago

An arithmetic sequence has this recursive formula: What is the explicit formula for this sequence? A. an = (–1) + (n – 7)(–4)

Mathematics

2 answers:

Rainbow [258]3 years ago

6 0

Answer:

The explicit formula of the given sequence

$a_n=27-4n$

Step-by-step explanation:

Given A sequence is in an arthmetic progression

The recursive formula

$a_n=(-1)+(n-7)(-4)$

Recursive formula:It is the formula to find the value of $n^{th}$ term ( $a_n$ ) of the sequence when $(n-1)^{th}$ term of the sequence is known .

Explicit formula:It is the formula to find the value of any term of the sequence when $n^{th}$ term is known.

$a_n= -1-4n+28$

By simplification

$a_n= 27-4n$

By simplification

Hence, the explicit formula , $a_n=27-4n$ .

tresset_1 [31]3 years ago

4 0

bearing in mind that an explicit form is simply the sequence written as a function of some variables, so we simply simplify and add like-terms.

$\bf a_n=(-1)+(n-7)(-4)\implies a_n=-1+(-4n+28)\implies a_n=27-4n$

You might be interested in

Simplify the expression. Write your answer as a power. (−5/7)^8⋅(−5/7)^9

dem82 [27]

Answer: $(-\frac{5}{7})^{17}$

Step-by-step explanation:

The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:

$(b^a)(b^c)=b^{(a+c)$

Where b is the base and a and c are exponents.

Then simplify it by rewriting the base ( $-\frac{5}{7}$ ) and adding the exponents of the expression (8 and 9).

You will get the expression simplified and written as a power:

$(-\frac{5}{7})^8(-\frac{5}{7})^9=(-\frac{5}{7})^{(8+9)}=(-\frac{5}{7})^{17}$

3 0

2 years ago

Part B Isabella's mother sells the peas and gets $3 for each square foot. So, multiply your answer from Part A by 3 to calculate

choli [55]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the solution to part A (or part A itself) is not given. To solve this, I will assume a value to the supposes solution to part A.

From the question:

1 square foot is sold at $3.

This implies that:

p square foot will be sold at $3p.

So, total sales can be calculated using:

$Total = 3p$