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Free_Kalibri [48]
3 years ago
7

Two times the smaller of two consecutive integers is equal to 2 more than the larger. What is the LARGER integer?

Mathematics
1 answer:
LenaWriter [7]3 years ago
8 0

Answer:

The larger integer is 4.

Step-by-step explanation:

Given: Two times the smaller of two consecutive integers is equal to 2 more than the larger.

To find: The larger integer.

Solution:

Let the two consecutive integers be x and x+1,  where the smaller integer is x and larger integer is x+1.

Now, according to question.

Two times the smaller integer = 2 more than the larger integer.

\implies 2x=x+1+2

\implies 2x-x=3

\implies x=3

So, the smaller integer is 3, and the larger integer is 3+1=4.

Hence, the larger integer is 4.

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Find the first 5 terms of the arithmetic sequence : a(1)=-3 , a(17)=-20
madreJ [45]
The explicit formula for arithmetic sequence is:
an=a+(n-1)d
where:
a=first term
d=common difference 
given:
a3=22
a(17)=-20
substituting this in our equation we get:
22=a+(3-1)d
22=a+2d
a=22-2d........i

also:
-20=a+(17-1)d
-20=a+16d.....ii
but substituting i in ii we get:
-20=22-2d+16d
-20-22=14d
-42=14d
d=-3
but:
a=22-2d
a=22-2(-3)
a=28
thus the formula will be:
an=28-3(n-1)
thus the first term will be 28
the 2nd term will be:
a2=28-3(2-1)
a2=25

the 3rd term will be:
a3=28-3(3-1)
a3=28-6
a3=22

a4=28-3(4-1)
a4=28-9
a4=15

a5=28-3(5-1)
a5=28-3(4)
a5=28-12
a5=15

5 0
3 years ago
Write 90 as a product of prime factors in expanded form.
NISA [10]

Given :

The number is given as 90.

Explanation :

To find the product of prime factors in expanded form

90=2\times3\times3\times5

Answer :

Hence the answer is

90=2\times3\times3\times5

5 0
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?<br> 0.07<br> What is 70 x 10^2
Fofino [41]

Answer:

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Step-by-step explanation:

I think this is the answer

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kow [346]

Answer:

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Step-by-step explanation:

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Why is 0.65 bigger than 3/5?
nevsk [136]
3 divided by 5 is 0.6 so 0.65 is bigger
3 0
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