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lisabon 2012 [21]
2 years ago
12

Sherman has two sequences . The first sequence is described by the explicit rule f(n) = 15n + 4 and the second sequence is descr

ibed by the explicit rule f(n) = 4n + 15 . Find the sum of the 20th term in each sequence . The sum of the 20th term in each sequence is
Mathematics
1 answer:
Viktor [21]2 years ago
7 0

Answer:

Step-by-step explanation:

Given the explicit function as

f(n) = 15n+4

The first term of the sequence is at when n= 1

f(1) = 15(1)+4

f(1) = 19

a = 19

Common difference d = f(2)-f(1)

f(2) = 15(2)+4

f(2) = 34

d = 34-19

d = 15

Sum of nth term of an AP = n/2{2a+(n-1)d}

S20 = 20/2{2(19)+(20-1)15)

S20 = 10(38+19(15))

S20 = 10(38+285)

S20 = 10(323)

S20 = 3230.

Sum of the 20th term is 3230

For the explicit function

f(n) = 4n+15

f(1) = 4(1)+15

f(1) = 19

a = 19

Common difference d = f(2)-f(1)

f(2) = 4(2)+15

f(2) = 23

d = 23-19

d = 4

Sum of nth term of an AP = n/2{2a+(n-1)d}

S20 = 20/2{2(19)+(20-1)4)

S20 = 10(38+19(4))

S20 = 10(38+76)

S20 = 10(114)

S20 = 1140

Sum of the 20th terms is 1140

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There you go :)

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3 years ago
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BEST ANSWER GETS TO BE BRAINLYEST!!!!!
Anit [1.1K]
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3 years ago
Create an item with a selling price over $100 a discount of 25% and tax is 9%
Lana71 [14]

First, convert the 25% to a real mathematical number. For percents, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $100 is. This is the amount of the sale discount. This is always found by mulitplying 0.250 by the item's cost $100, like this:

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So for this sale, you'll save $25.00 on this item.

This means, the cost of the item to you is

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Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?

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Just like the result above, the sale price on the item is $75.00.

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2 years ago
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