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kotegsom [21]
3 years ago
14

2. The 7th term of an A.P is 27 and the 12th term is 47, what is the sequence?

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0

Answer:

<h2>3 + 4(n - 1)</h2>

Step-by-step explanation:

let r be the common differenc of the sequence

Term 12 - Term 7 = (12 - 7)r

then

47 - 27 = 5r

then

20 = 5r

then

r = 4

term 7 = term 1 + (7 - 1)r

then

27 = term 1 + 6r = term 1 + 24

then

Term1 = 27 - 24 = 3

<em><u>therefore </u></em>

the standard explicit formula of the sequence is :

term 1 + (n - 1)r = 3 + 4(n - 1)

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The length of a rectangle is 1 inch less than twice the width. the area is 21 inches^2 what is the length?
ale4655 [162]
Hi.

Formula for area: A = 2l + 2w, where l is the length and w is the width.

Given information:
• l = 2w - 1
• A = 21 in^2

We can plug in our values accordingly and solve for w.

A = 2l + 2w
21 = 2(2w - 1) + 2w
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Plug 3.83 for w into 2w - 1 to find length.

2(3.83) - 1
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6.66

Finally, check your work by plugging your values into the original equation.

21 = 2(6.66) + 2(3.83)
21 = 13.32 + 7.66
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Answer:
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Answer:

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