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3 years ago

Ratio equivalent to 1:3

2 answers:

7 0

1:3

Multiply by 2, 3, 4, 5.

2*1: 2*3 = 2 : 6

3*1: 3*3 = 3 : 9

4*1: 4*3 = 4 : 12

5*1: 5*3 = 5 : 15

Equivalent ratio could be either of 2:6, 3:9, 4:12, 5:15

Hope this helps.

Margaret [11]3 years ago

4 0

2:6

3:9

4:12

These are all equivilant

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The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?

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Answer:

The first term is:

$a_1=-61$

Step-by-step explanation:

The arithmetic sequence is defined by

$a_n=a_1+\left(n-1\right)d$

where

$a_1$ is the first term

$d$ is the common difference

the 17th term of an arithmetic sequence is 51.

i.e. $a_{17}=51$

$a_n=a_1+\left(n-1\right)d$

$a_{17}=a_1+\left(17-1\right)d$

$51=a_1+\left(17-1\right)7$ ∵ $n = 17$ , $a_{17}=51$ , $d=7$

$a_1+112=51$ ∵ $\left(17-1\right)\cdot \:\:7=112$

$a_1=-61$

Therefore, the first term is:

$a_1=-61$

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2 years ago

Juan purchased an antique that had a value of \$200$200dollar sign, 200 at the time of purchase. Each year, the value of the ant

garri49 [273]

Answer:

<h2>The value of a is $(\frac{11}{10} )^{222}$ .</h2>

Step-by-step explanation:

At the time of purchase, the value of the antique is $200.

After one year the value will increase 10%.

Hence, after one year, the value of the antique will be $\frac{110}{100} \times200$ = 220.

Similarly, after two year, the value will be $200\times (\frac{110}{100} )^{2}$ .

Thus, 222 years after purchase, the value of the antique will be $200\times (\frac{110}{100} )^{222} = 200\times (\frac{11}{10} )^{222}$ .

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