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3 years ago

I NEED HELP ASAP :(

Mathematics

1 answer:

Natalka [10]3 years ago

4 0

Answer:

The answer is A

Step-by-step explanation:

Variable- w=weeks

weeks=4

solution-w>9

-4w<-36

-4w/4<-36/-4

(36/4 =9)

w>9

(sorry if I didnt explain it you right but, A is the correct answer)

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The sequence shown: 28, 22, 16, 10...)

noname [10]

Recursive formula: $a_n = a_{n-1} -6$

Explicit Formula: $a_n = 34-6n$

35th term: -176

Sum of first 35 terms: -2590

Step-by-step explanation:

Given sequence is:

28, 22, 16, 10

First of all, we have to determine if this is an arithmetic sequence or geometric sequence. for this purpose we will find the common difference.

Here

$a_1 = 28\\a_2 = 22\\a_3 = 16$

$d = a_2-a_1 = 22-28 =-6\\d = a_3-a_2 = 16-22 = -6$

As the common difference is same the sequence is an arithmetic sequence

Recursive Formula:

Recursive formula is the formula that uses the previous term and common difference to find the next term

As the common difference is -6

The recursive formula will be:

$a_n = a_{n-1} +(-6)\\a_n = a_{n-1} -6$

Explicit formula:

The explicit formula for an arithmetic sequence is:

$a_n = a_1+(n-1)d$

Putting the value of d and a_1

$a_n = 28 + (n-1)(-6)\\= 28 -6n+6\\= 34-6n$

35th term of the sequence:

To find the 35th term, putting n = 35

$a_{35} = 34-6(35)\\a_{35} = 34 - 210\\a_{35} = -176$

Sum:

$a_1 = 28\\a_{35} = -176$

The formula for sum of finite arithmetic sequence is:

$S_n = \frac{n}{2} (a_1+a_n)$

As we have to find sum of 35 terms, the formula will be:

$S_{35} = \frac{35}{2}(28-176)\\S_{35} = 17.5 (-148)\\=-2590$

Hence,

Recursive formula: $a_n = a_{n-1} -6$

Explicit Formula: $a_n = 34-6n$

35th term: -176

Sum of first 35 terms: -2590

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

5 0

3 years ago

How to evaluate the expression 0.3(3-0.5)

scoray [572]

0.3(3 - 0.5)
= 0.3(2.5)
= 0.75

3 0

4 years ago

A pile of sand has a weight of 90 kg. The sand is put into a small bag,a medium bag and a large bag in the ratio 2 : 3 : 7. What

tekilochka [14]

Hi there:)
Total ratio
2+3+7=12
Now find the weight of sand in each bag

Small bag
90×(2÷12)
=15 kg
Medium bag
90×(3÷12)
=22.5
Large bag
90×(7÷12)
=52.5

Hope it helps

4 0

3 years ago

Read 2 more answers

10 11/12 + 7 1/4 = A. 3 8/12 B. 3 2/3 C. 17 1/4 D. 18 1/6

Alla [95]

It's D if you need an explanation let me know

3 0

3 years ago

Read 2 more answers

Perform the indicated operation.(3/a+2) + (4/a-5)

kipiarov [429]

Answer:

$\frac{7(a-1)}{(a+2)(a-5)}$

Step-by-step explanation:

To solve this operation we need to find the common multiple of both denominators and solve for a.

$\frac{3}{a+2} + \frac{4}{a-5} =\frac{3(a-5)+4(a+2)}{(a+2)(a-5)} =\frac{3a-15+4a+8}{(a+2)(a-5)} =\frac{7a-7}{(a+2)(a-5)} =\frac{7(a-1)}{(a+2)(a-5)}$

Thus, the solution is 7(a -1) / (a+2)(a-5)

8 0

4 years ago