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Dominik [7]
3 years ago
6

What are the next three terms in the sequence 1, 7, 13, 19, ... ?

Mathematics
1 answer:
mote1985 [20]3 years ago
7 0

Answer:

The next three terms in the sequence are: 25,31, 37

The required sequence is: 1, 7, 13, 19,25,31, 37

Step-by-step explanation:

We need to find the next three terms in the sequence 1, 7, 13, 19, ...

First we need to find the difference between the terms

If we observe:

First term ; 1

Second term is : 1+6 = 7

Third term is: 7+6 = 13

Fourth term is: 13+6 = 19

So adding 6 to previous term we can find the next term as observed by the pattern

Fifth term will be: 19+6 = 25

Sixth term will be: 25+6 = 31

Seventh term will be: 31+6 = 37

So, the next three terms in the sequence are: 25,31, 37

The required sequence is: 1, 7, 13, 19,25,31, 37

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On saturday, you bowl at mar vista bowl, where renting shoes costs $2 and each game bowled is $3.50. on sunday, you bowl at pinz
ExtremeBDS [4]

Given, at Mar Vista bowl the cost of renting shoes = $2.

The cost for each game bowled = $3.50

There are g games given. So the cost for g games bowled = $(3.50)(g) = $(3.50g)

The total amount soent at Mar Vista Bowl = $(2+3.50g)

At Pinz, the cost for shoe rental = $5.

The cost for each game bowled = $3.25.

So the cost for g game bowled = $(3.25)(g) = $(3.25g)

Total amount spent at Pinz = $(5+3.25g)

Given, the amount spent ateach of the places is same.

so we can write the equation as,

2+3.50g = 5+3.25g

We will move 3.25 to the left side by subtracting it from both sides. we will get,

2+3.50g-3.25g = 5+3.25g-3.25g

2+0.25g = 5

Now we will move 2 to the right side by subtracting 2 from both sides. We will get,

2+0.25g-2 = 5-2

0.25g = 3

Now to get g we will divide 0.25 to both sides. We will get,

\frac{0.25g}{0.25}= \frac{3}{0.25}

g =\frac{3}{0.25}

g = 12

So we have got the required answer.

The number of games bowled = 12.

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