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Answered

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What is the eleventh term in the sequence 17, 24, 31, 38…?

Sagot :

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Answer:

87

Explanation:

This is an arithmetic sequence with common difference: 7 and first term: 17

Arithmetic sequence:

a + (n - 1)d                    where n is term position, d is difference, a is first term

17 + (n - 1)7

7n + 10

The eleventh term:

7n + 10

7(11) + 10

77 + 10

87

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To Find :-

  • Eleventh term of the sequence.

Solution :-

Given A.P.,

  • 17 , 24 , 31 , 38 …

First term (a) is 17.

Common difference (d) = 24 - 17 => 7

We know that :

  • tn = a + (n - 1) d

Here n would be 11.

>> t11 = 17 + (11 - 1) 7

>> t11 = 17 + (10) 7

>> t11 = 17 + (10) × 7

>> t11 = 17 + 70

>> t11 = 87

Therefore, eleventh term in the sequence is 87.

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