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adelina 88 [10]
3 years ago
11

1. What are the next two terms of the following sequence?

Mathematics
2 answers:
AnnyKZ [126]3 years ago
6 0
All of your marked answers are right
you're very smart (:
Sophie [7]3 years ago
4 0

Answer:

1.  13, 17                       Option D

2. -2                            Option B

3. 2                             Option C

4. F(n) = 3+4(n-1)        Option D

Step-by-step explanation:

1.  

Given sequence is:   1, 5, 9....

Common difference =  5-1 = 9-5 = 4

Next term is :

9+4 = 13

and

13+4= 17

So, next two terms are:  13 & 17.

2.

Given sequence is :

102, 100, 98, 96....

Common difference = 100 - 102 = 98 -100 = 96 - 98 = -2

3.

Given rule is :

Aₙ  = -14 + (n - 1)(2)

Find the 9th term

so, we put n = 9

A₉ = -14 + (9-1)*2

A₉ = -14 + 8*2 = -14 + 16

A₉ = 2

Ninth term is 2.

4.

Given sequence is:

3, 7, 11, 15.....

Write the nth term

Formula is :

F(n) = a₁ + (n-1)d

Where a₁ is first term

n is number of terms

d is common difference

a₁ = 3

d = 7-3 = 11-7 = 15 - 11 = 4

So nth term is :

F(n) = 3 + 4(n-1)

That's the final answer.

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n a jar of coins, the ratio of nickels to dimes is 5:7. If the jar contains 350 dimes, how many nickels are there?
irina1246 [14]

Answer:

250 nickles

Step-by-step explanation:

Nickles and dimes are coins with different currency values. One nickel(N) is equal to 5 cents while one dime(D) is equal to 10 cents. The ratio of nickel:dime is 5:7, to put into the equation it will be:

N/D= 5/7

7N=5D   ---> 1st equation

There are 350 dimes, the equation will be:

D=350   ----> 2nd equation

We can find out the number of nickels by substitute the 2nd equation into the first. The calculation will be

7N=5D

N= 5D/7

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N=  250

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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h = 1/2(30)

h = 15 inches

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