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Bess [88]
3 years ago
11

Find the surface area of the rectangular prism

Mathematics
1 answer:
nika2105 [10]3 years ago
8 0

The team go skirt pop pop pop pop pop pop...

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The first term of an Ap is - 504 while<br>the sum of its 9 terms is-126 find<br>Sum of its 30 terms​
frozen [14]

Answer:

The sum of its 30 terms is 38167.5

Step-by-step explanation:

Given:

The First term in the AP is -504

The Sum of its 9 terms is -126

To Find:

The sum of its 30 terms = ?

Solution:

The sum of n terms of an AP:

S_n = (\frac{n}{2} ) [ 2 a_1 + ( n - 1 ) d ]

The sum of 9 terms of an AP:

S_9 = (\frac{9 }{2} ) [ 2(-504) + ( 9 - 1 )d ]

S_9 = (4.5 )[ 2 (-504)+ ( 8 ) d ]

(4.5 )(2)(-504) + (4.5) 8 d = - 126

(-4536) +36d = -126

36 d = -126+4536

36 d=  4410

d= \frac{4410}{36}

d = 122.5

The sum of its 30 terms is

S_{30} = ( \frac{30 }{2 }) [ 2 (-504) + ( 30-1)(122.5) ]

S_{30} =(15) [ 2 (-504) + ( 29)(122.5) ]

S_{30} = [ 2 (-504)(15) + ( 29)(122.5)(15) ]

S_{30} = [ -15120 + 53287.5 ]

s_{30} = 38.167.5

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4 years ago
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Step-by-step explanation:

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