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Ganezh [65]
3 years ago
8

What’s the 30th of the linear sequence -5,-2,1,4,7

Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0

The 30th term of the given sequence is 82.

<u>Step-by-step explanation</u>:

  • The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on.
  • The given linear sequence (-5,-2,1,4,7) is in the form of Arithmetic Progression with a common difference of 3.
  • -5, -5+3 = -2, -2+3 = 1, 1+3 = 4 and so on.

The nth term is given by the formula nth term = a + (n - 1) d

where  

a = first term

d = common difference

<u>To find the 30th term in the given sequence :</u>

The first term, a = -5 and the common difference, d = 3.

30th term = -5 + (30-1) 3

⇒ -5 + (29) 3

⇒ -5 + 87

⇒ 82

Therefore, the 30th term in the given sequence is 82.

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EFV and EDW are straight lines.<br>Find the value of x and of y.​
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============================================================

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

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Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

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---------------------------------------

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