Pattern recognition
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.
You replace each variable by its value. Then you do the indicated calculations.
When quantities in a given sequence increase or decrease by a common difference,it is called to be in arithmetic progression.
Substitute the given value for the argument of the function.
To evaluate an expression is nothing but to operate the given expression according to the operators given in the expression if it is evaluable i.e, it could be convertable.
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.
You replace each variable by its value. Then you do the indicated calculations.
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When quantities in a given sequence increase or decrease by a common difference,it is called to be in arithmetic progression.
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.
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]
-161.
A variable
Substitute the given value for the argument of the function.
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.
When a math problem instructs you to "evaluate each expression," it means you need to compute the value of the given mathematical expressions using the specified numbers or variables. This involves performing the necessary arithmetic operations, such as addition, subtraction, multiplication, or division, to arrive at a numerical result. Essentially, you're simplifying the expression to find its value based on the provided inputs.
To evaluate expressions by substitution, first identify the variable(s) in the expression and determine their corresponding values. Replace each variable in the expression with its given value. Finally, perform the necessary arithmetic operations to simplify the expression and obtain the final result. For example, if the expression is (2x + 3) and (x = 4), substitute to get (2(4) + 3), which simplifies to (8 + 3 = 11).