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hram777 [196]
3 years ago
13

An arithmetic sequence has a third term of 7 and a fifth term of 13. Write an equation could be used to find the both term of th

e sequence.
Mathematics
1 answer:
levacccp [35]3 years ago
5 0

Answer:

a(n) = 3n - 2.

Step-by-step explanation:

The nth term of an arithmetic sequence = a1 + d(n - 1)  where a1 = the first term and d = the common difference.

So here we  have:

a3 = 7 = a1 + 2d

a5 = 13 = a1 + 4d

Rewriting:

a1 + 4d = 13

a1 + 2d = 7  

Subtracting,  we eliminate a1:

2d = 6

d = 3

and a1 = 7 - 2(3)

= 1.

So our equation we can use to find any term is

a(n) = 1 + 3(n - 1)

a(n) = 1 + 3n - 3

a(n) = 3n - 2 (answer).

Checking :

3rs term = 3(3) - 2 = 7.

5th term = 3(5) - 2 = 13.

First term = 3(1) - 2 = 1.

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4 0
1 year ago
Giving brainiest+points need explanation on this one my answer is 25 is it right?
Sergio [31]
Yes, the answer of 25 is correct.

4 0
3 years ago
An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages
Fynjy0 [20]

Answer:

5 yr and 39 yr

Step-by-step explanation:

Let x = the age of the younger

then 7x + 4 = the age of the older

Now x + 7x + 4 = 44

8x + 4 = 44

8x = 40

x = 5

7x + 4 = 7(5) + 4 =  35 + 4 = 39

Check:  5 + 39 = 44

8 0
3 years ago
The table shows the unit prices (per pound) of tomatoes
blondinia [14]

Answer:

store B, C, and D

Step-by-step explanation:

6 0
3 years ago
The area of rectangular is 64m the length of the pool is 12 m less that the width .The situation can be represented by the equat
beks73 [17]

Answer:

Width = 16 m

Length = 4 m

Step-by-step explanation:

The area of rectangular is 64m² the length of the pool is 12 m less that the width . The situation can be represented by the equation x

Area of a rectangle = Length × Width

L = W - 12

Hence:

64 = (W - 12) × W

64 = W² - 12W

W² - 12W - 64 = 0

Factor using

(W + 4)(W - 16) = 0

Width = 16m

Length = W - 12

Length = 16 m - 12 m

= 4 m

6 0
3 years ago
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