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3 years ago

Here are the first four terms of an arithmetic sequence.

Mathematics

2 answers:

ololo11 [35]3 years ago

5 0

Answer:

nth term = 7n - 2

Step-by-step explanation:

a = first term = 5

d = common difference = second term - first term

= 12 - 5 =7

d = 7

$a_{n} =$ a + (n-1)d

= 5 + (n -1)7

= 5 + 7n - 7 {add like terms}

= 7n - 2

SashulF [63]3 years ago

3 0

Answer:

n_n = n_n-1 + 7

Step-by-step explanation:

All it does is it adds 7 to the previous term

n = n_(previous)+7

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Step-by-step explanation:

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2(m + 1) = 16 full answer

Serhud [2]

Answer:

2m+2=16, then do the isolate m but doing the inverse operation of 2 which is now -2 and add that to 16 would be left with 2m=14 and 14/2 is 7 so m=7

Step-by-step explanation:

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3 years ago

The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9

Georgia [21]

Answer:

9 units.

Step-by-step explanation:

Let us assume that length of smaller side is x.

We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

We know that sides of similar figures are proportional. When the proportion of similar sides of two similar figures is $\frac{m}{n}$ , then the proportion of their area is $\frac{m^2}{n^2}$ .