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I am Lyosha [343]
2 years ago
13

Find the 78th term of the arithmetic sequence -12,-13,-14,

Mathematics
1 answer:
creativ13 [48]2 years ago
8 0

Answer:

  -89

Step-by-step explanation:

The first term of the sequence is a1 = -12.

The common difference between terms is ...

  d = -13 -(-12) = -1

The generic term is given by ...

  an = a1 +d(n -1)

Then the 78th term is ...

  a78 = -12 +(-1)(78 -1) = -12 -77

  a78 = -89

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Please help me asap!!
Sauron [17]
I believe the answer is C
7 0
3 years ago
Please help!! See the attachment, please!​
topjm [15]

Answer:

946

Step-by-step explanation:

we know that

The formula to find the sum is equal to

S=(a1+an)n/2

where

a1 is the first term

an is the last term

n is the number of terms

In this problem we have

n=11

a1=(98-2(1))=96

an=(98-2(11))=76

substitute the values in the formula

S=(96+76)(11/2)=946

5 0
3 years ago
Is (x+7) a factor of f(x)= x^3-3x^2+2x-8
nikklg [1K]

Answer:

Step-by-step explanation:

Use synthetic division to answer this.  If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.

We use -7 as the divisor in synth. div.  This comes from the factor (x + 7):

-7   /    1    3     2     -8

               -7   28  -210

     -------------------------

         1      -4   30   -218

Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.

6 0
3 years ago
Paula’s entire family came to her birthday party. There were 17 people there. Paula’s parents bought enough mini-sandwiches for
djverab [1.8K]

Answer:

102

Step-by-step explanation:

Paula's parents bought 102 mini-sandwiches. When I multiplied 17 by 6, I got 102. To check my answer, I divided 102 by 6 and got 17.

17x6=102

102/6=17

Hope this helps:)

PLEASE MARK ME AS BRAINLIEST

3 0
2 years ago
What does y equal when the equation 4y-1=7
asambeis [7]
4y - 1 = 7    / + 1 ;
4y = 8         /÷4 ;
y = 2 ;
7 0
3 years ago
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