Question

It's urgent, Please answer, Make Sure you Round it

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

460, 451,442

Find the 37th term.

Answer 1

136

Explanation:

This is an arithmetic sequence

The formula is an = a1 + f × (n-1)

n= the number we are trying to find = 37

a= the number in any given space on the sequence

a1= 460

f= the common difference between the numbers

f= -9 because you subtract 9 from each to get the number

a37= 460-9(37-1)

a37= 460-9(36)

a37= 460- 324

a37= 136

Answer 2

Given :

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• The first three terms of a sequence are 460, 451, 442

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To Find :

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• 37th term of sequence = ?

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Solution :

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Clearly these three terms are making an arithmetic sequence, with :

• First term, a = 460
• Common difference, d = 451 - 460 = - 9

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Now, we have to find 37th term of sequence =
`\tt a_(37)`

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Now, we know that :

`\large \underline{\boxed{\bf{a_(n) = a + (n-1)d}}}`

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`\tt : \implies a_(37) = a + (37-1)d`

`\tt : \implies a_(37) = a + 36d`

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Now, by substituting values of a and d :

`\tt : \implies a_(37) = 460 + 36 * (-9)`

`\tt : \implies a_(37) = 460 - 324`

`\tt : \implies a_(37) = 136`

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Hence, value of 37th term of given sequence is 136.