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How do you evaluate an arithmetic series if the sigma notation is not given My hw gives me a1 an and n but I don't know how to solve?

This site no longer allows me to enter subscripts so I will use brackets: a(n) to indicate the nth term.a(n) = a(1) + (n-1)*d where d is the common difference between the terms of the arithmetic sequence.Therefore, d = [a(n) - a(1)]/(n-1)Then, the appropriate arithmetic series isS(n) = 1/2*n[2*a(1) + (n-1)*d] where all the terms on the right hand side are known.


How do you evaluate an expression when given values for the variables?

You replace each variable by its value. Then you do the indicated calculations.


What is Arithmetic sequence if the given is a b?

poihugyftdrsykdtulfiyg8ypt7r6leu5kyjasrkdtou


What is To evaluate an expression you the variable with a number?

To evaluate an expression, you substitute the variable with a specified number. This process involves replacing the variable in the expression with its given value and then performing the necessary arithmetic operations to simplify the expression. For example, if you have the expression (2x + 3) and you substitute (x) with (4), you would calculate (2(4) + 3) to get (11).


What is the uses of arithmetic progression?

When quantities in a given sequence increase or decrease by a common difference,it is called to be in arithmetic progression.


If you're given the values in a variable expression what is the first step you should take?

The first step is to substitute the given values into the variable expression. This involves replacing each variable with its corresponding numerical value to simplify the expression. Once the values are substituted, you can then perform any necessary arithmetic operations to evaluate the expression.


What is the general sum of an arithmetic sequence?

Given an arithmetic sequence whose first term is a, last term is l and common difference is d is:The series of partial sums, Sn, is given bySn = 1/2*n*(a + l) = 1/2*n*[2a + (n-1)*d]


Given the arithmetic sequence -11-16-21 what is S30?

-161.


What do you need to be given to evaluate an algebraic expression?

A variable


How do you evaluate a function for a given input value?

Substitute the given value for the argument of the function.


What expression defines the given series for seven terms of this sequence -4 (-5) (-6) ...?

The given series is an arithmetic sequence where the first term is -4 and the common difference is -1. The seven terms can be expressed as -4, -5, -6, -7, -8, -9, -10. The expression for the sum of these seven terms can be calculated using the formula for the sum of an arithmetic series: ( S_n = \frac{n}{2} (a + l) ), where ( n ) is the number of terms, ( a ) is the first term, and ( l ) is the last term. Here, ( S_7 = \frac{7}{2} (-4 + (-10)) = \frac{7}{2} (-14) = -49 ).


When will the geometric average return exceed the arithmetic average return for a given set of returns?

Never. The geometric return is always lower than the arithmetic average returns unless the returns for the given set of data are all the same.