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3 years ago

Find the 53rd term of the arithmetic sequence -12, -1, 10

Mathematics

2 answers:

RSB [31]3 years ago

5 0

440 is the answer

Tn=a+(n-1)d

Tn=53

a= -12

n=53

d= 11

-12+(53-1)11 = 440

fgiga [73]3 years ago

3 0

Answer:

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

Since we're finding the 53rd term

a = - 12

n = 53

d = -1 - ( -12) = - 1 + 12 = 11 or 10--1 = 10 +1 =11

d = 11

So we have

A(53) = - 12 + (11)(53 - 1)

= - 12 + 11(52)

= -12 + 572

= 560

We have the final answer as

Hope this helps you

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Jagan and Mithun calculated the value of 12 - 6 + 4.The steps are given alongside.

san4es73 [151]

Answer:

Step-by-step explanation:

<u>Explanation:</u>

$12 - 6 + 4$

In order to solve this, we must use PEMDAS.

This is because there are more than one operations involved.

PEMDAS is the order in which you must solve the operations.

PEMDAS STANDS FOR:

Parenthesis
Exponential Notation (exponents)
Multiplication/division (do whichever comes first)
Addition/subtraction (do whichever comes first)

<u>Solve.</u>

Now, using PEMDAS, I will solve.

There are no parenthesis.

There are no exponents.

There is no multiplication nor division.

There is addition and subtraction.

$12-6+4$

$12-6=6$

$6+4$

Lastly, there is addition.

$6+4=10$

<u>Conclude:</u>

I, therefore, believe $12-6+4=10.$

You did not clarify the answers of Jagan nor Mithun.

So, whichever person got the answer of 10 is correct.

8 0

3 years ago

(-2)³ + 4 ÷ (-15 + 9)(3) - 4?

dsp73

Answer:

$-\frac{110}{9}$

Step-by-step explanation:

Given expression is $(-2)^{3} +4/(-15+9)(3)-4$

Let us perform the operations inside the parentheses first.

$-8 +4/(-6)(3)-4$

$-8 +4/(-18)-4$

$-8-\frac{4}{18} -4$

$=-12-\frac{4}{18}$

$=-12-\frac{2}{9}$

$=-\frac{110}{9}$

4 0

4 years ago

The measure of one angle is 130 which statement is true regarding the 130 angle and angle 3

Dafna11 [192]

According to Figure that is shown below, the correct answer for this problem is:

<span>B. They are alternate interior angles, so angle 3 also measures 130°.

</span>The same happens with 7 and 11. This is an obtuse angle, that is, this kind of angles measures more than 90° but less than 180°.