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Sonbull [250]
3 years ago
11

PLEASE HELP ME WITH THIS, ITS 12 AM

Mathematics
1 answer:
juin [17]3 years ago
4 0
Diskette morning my dear dear sister I hope your day off I will check for you and you please please Shia
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zhuklara [117]

Answer:

r=10

Step-by-step explanation:

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The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progre
Rudik [331]

Given:

The first two terms in an arithmetic progression are -2 and 5.

The last term in the progression is the only number in the progression that is greater than 200.

To find:

The sum of all the terms in the progression.

Solution:

We have,

First term : a=-2

Common difference : d = 5 - (-2)

                                      = 5 + 2

                                      = 7

nth term of an A.P. is

a_n=a+(n-1)d

where, a is first term and d is common difference.

a_n=-2+(n-1)(7)

According to the equation, a_n>200.

-2+(n-1)(7)>200

(n-1)(7)>200+2

(n-1)(7)>202

Divide both sides by 7.

(n-1)>28.857

Add 1 on both sides.

n>29.857

So, least possible integer value is 30. It means, A.P. has 30 term.

Sum of n terms of an A.P. is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Substituting n=30, a=-2 and d=7, we get

S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7]

S_{30}=15[-4+(29)7]

S_{30}=15[-4+203]

S_{30}=15(199)

S_{30}=2985

Therefore, the sum of all the terms in the progression is 2985.

6 0
3 years ago
When finding the difference between 2.4 and a number, the answer is 1.57. What number should go in the box to complete the subtr
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Answer:

8

Step-by-step explanation:

2.4 - 1.57 = 0.83

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2 years ago
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Bess [88]

Answer:

what are we trying to do with the problem tho?

Step-by-step explanation:

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3 years ago
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