The first five terms of the sequence in which each number is 4 less than 3 times the previous number is 10, 26, 74, 218 and 650.
<h3>What is an
equation? </h3>
An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the second term, since the first term is 10, hence:
x = 3(10) - 4 = 26
Third term = 3(26) - 4 = 74
Fourth term = 3(74) - 4 = 218
Fifth term = 3(218) - 4 = 650
The first five terms of the sequence in which each number is 4 less than 3 times the previous number is 10, 26, 74, 218 and 650.
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Step-by-step explanation:
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We write to expressions since there are two unknown here which is x and y. The first expression is the <span>sum of two numbers, x and y, is 12.
x + y = 12
The second expression is that the </span><span>difference of x and two times y is 6.
x -2y = 6
Therefore, the values of x and y are 10 and 2.</span>
This is the concept of application of compound interest, to calculate the amount I will have after the 5th deposit we proceed as follows;
A=p(1+r/100)^n
where;
A=future amount
p=principle
r=rate
n=number of years
thus substituting the values in our formula we get:
A=3,100(1+8.5/100)^5
A=3,100(1+0.085)^5
A=3100(1.085)^5
A=4,666.34
The amount of money after 5 years will be $4,666.24
Answer:
1
Step-by-step explanation: