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2 years ago

A certain arithmetic sequence has this explicit formula for the nth term:

Mathematics

2 answers:

Margaret [11]2 years ago

6 0

The number 6 could replace the gap :)

Alex787 [66]2 years ago

5 0

Answer:

Answer is 6

Step-by-step explanation:

Given that there is an arithmetic sequence and has an explicit formula for the nth term as

$a_n =13+(n-1)6\\$

Since n can be any natural number, let us substitute n =1 to find the I term

$a_1 = 13+(1-1)6=13$

Let us find the 2nd term by substituting n=2

$a_2 =13+(2-1)6=19$

Common difference = d= $a_2-a_1=19-13=6$

Hence from I term a and common difference d, we find the any term can be obtained by adding 6 to the previous term

i.e. $a_n=a_{(n-1) +6}$

6 is the answer

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For 3x2 - 4x+ 1, match the following:

Usimov [2.4K]

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Coefficient : 3 and -4

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Variable : x

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

$3x^2-4x + 1$

We have to find the constant, degree, coefficient , algebraic expression and varibale

<h3><u>Constant:</u></h3>

In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number like 1, 2

In the given expression, constant is 1

<h3><u>Degree:</u></h3>

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In the given expression, largest exponent is 2

Thus degree of polynomial is 2

<h3><u>Coefficient:</u></h3>

The coefficients are the numbers that multiply the variables or letters

In $3x^2-4x + 1$ , coefficients are 3 and -4

<h3><u>Algebraic expression:</u></h3>

An algebraic expression is a mathematical expression that consists of variables, numbers and operations.

Here the algebraic expression is:

$3x^2-4x + 1$

<h3><u>Variable:</u></h3>

The letters x, y, and z are common generic symbols used for variables.

Thus the variable in given expression is x

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2 years ago

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sertanlavr [38]

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3 years ago

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