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3 years ago

Give a recursive formula for this sequence: 1,4,7,10,13,16.... PLEASE HELP ME! Tysm! (:

Mathematics

1 answer:

Valentin [98]3 years ago

7 0

Answer:

$a_{n+1}$ = $a_{n}$ + 3 ; a₁ = 1

Step-by-step explanation:

Given

1, 4, 7, 10, 13, 16, ......

Note the difference in consecutive terms is constant, that is

4 - 1 = 7 - 4 = 10 - 7 = 13 - 10 = 16 - 13 = 3

Thus to obtain the next term in the sequence ( recursive formula )

Add 3 to the previous term

$a_{n+1}$ = $a_{n}$ + 3 ( with a₁ = 1 )

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You have $5600. The best interest rate you can find is 3%

EleoNora [17]

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

$A = P(1 + \frac{r}{n})^{nt}$

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

$\frac{A}{P} = (1 + \frac{r}{n})^{nt}$

Taking logs on both sides

$log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}$

This gives

$log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}$

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72

t = 72/4 = 18 years

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2 years ago

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Step-by-step explanation:

5(-2x - 3)

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3 years ago

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Leya [2.2K]

Answer:

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Step-by-step explanation:

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Read 2 more answers

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Lapatulllka [165]

Answer:

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Step-by-step explanation:

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2 years ago