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pishuonlain [190]
3 years ago
10

Thank you! WIll mark brainliest.

Mathematics
1 answer:
adoni [48]3 years ago
3 0

Answer:

B.) David should pull his goalie

Step-by-step explanation:

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What is the common difference of an AP which has its first term as 100 and the sum of its first 6 terms = 5 times the sum of its
Inga [223]

Answer:

The common difference of given AP is Option 2) -10.

Step-by-step explanation:

We are given the following information in the question:

First term of AP, a  = 100

The sum of its first 6 terms = 5(the sum of its next six terms)

We have to find the common difference of AP.

The sum of n terms of AP is given by:

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

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

Thus, we can write:

S_6 = 5 (S_{12}-S_6)\\\dfrac{6}{2}\big(200 + (6-1)d\big) = 5\bigg(\dfrac{12}{2}\big(200 + (12-1)d\big)-\dfrac{6}{2}\big(200 + (6-1)d\big)\bigg)\\\\600 + 15d =5(1200+66d-600-15d)\\600+15d=3000+255d\\2400 = -240d\\d = -10

Thus, the common difference of given AP is -10.

7 0
3 years ago
Evaluate d/2 + c/3 for c = 6 and d = 10 <br><br> a) 10<br> b) 16/5<br> c) 7<br> d) 6
pshichka [43]
D/2 + c/3

10/2 + 6/3

5+6/3

=5+2

=7



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Your answer is going to be A, B, and D :)
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Step-by-step explanation:

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Step-by-step explanation:

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