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IRINA_888 [86]
3 years ago
11

A number n is 13 less than a second number, and the second number is 10 more than a third number. If the third number is 54, wha

t is n?
A) 31
B) 41
C) 51
D) 57
E) 77
Mathematics
2 answers:
MariettaO [177]3 years ago
6 0
N = number
s = second number

n = s - 13
s = 54 + 10

s = 64

Plug in 64 for s

n = (64) - 13
n = 51

C) 51 is your answer

hope this helps
Ivanshal [37]3 years ago
5 0
51, in explainatory terms, you would want to add ten to fifty-four then subtract 13
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An Ontario lottery has the following structure, the first person drawn from the names wins $15 000. Each subsequent person drawn
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  • The first four terms are : 15000, 14850, 14700, 14550
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The first term of the sequence, a = 15,000

Each subsequent winner gets $150 less

Hence, the common difference, d = - $150

The first four terms :

First term, a1 = $15000

Second term, a2 = a - d = $15000 - $150 = $14850

Third term, a3 = a2 - d = $14850 - $150 = $14700

Fourth term, a4 = a3 - d = $14700 - $150 = $14550

a, for the sequence is the first term = $15000

d, for the sequence is the common $150 (difference between successive wins).

Explicit formula for the general term :

a_{n} \:  = nd \: + c

For n = 1

15000 = 1( - 150)  + c

15000 =  - 150 + c

c = 15150

Hence, the explicit formula for the nth term is :

a_{n} \:  =  - 150n \:  + 15150

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