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2 years ago

3) Jack has $400 and is going to start saving $30 per week. Sally has $225 and is going to start saving $55 per

Mathematics

1 answer:

Gre4nikov [31]2 years ago

8 0

It will take 7 weeks and both will have $610

30x7=210+400=610
55x7=385+225=610

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Please answer soon I need this answer very quickly for math. Thank you!

Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

$a_n=4n+5$

1. First 5 terms:

For first 5 terms, we have to put n=1,2,...5,

So,

$For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25$

2. Sum of first 25 terms:

For that we have to find 25th term first

$a_{25} = 4(25)+5\\=100+5\\=105$

The formula for sum is:

$S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425$

3. Type of sequence

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

$d=4$

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago

Rex's puppy is 5 years younger than his other dog. If the other dog is x years old, what is an expression for the puppy's age?

HACTEHA [7]

The other dog's age is "x". Rex's puppy is 5 years less than "x". SO...
x-5.

Understand?

5 0

2 years ago

Read 2 more answers

Solve by Elimination: x + 6y = 28 2x - 3y = -19

SIZIF [17.4K]

Answer:

x=-2

y=5

Step-by-step explanation:

x=28-6y

2x-3y=-19

(substitute the value of x)

2(28-6y)-3y=-19

y=5

x=28-6*5

x=-2

3 0

2 years ago

Cloud [144]

If you are asking if your work is good,thn yes,you are right

7 0

2 years ago

In which pair of numbers is the first number of the multiple of the second number?

irina1246 [14]

Your answer would be c. 18,6

7 0

2 years ago