Question

If a = 10 and t10 = –17, then the common difference (d) is​

Answer 1

Answer:

-27

Step-by-step explanation:

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Answer 2

Correct Question

• In an A.P, if a = 10 and 10th term = -17, then find the common difference (d).

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Given

• First term (a) = 10
• 10th term = -17

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To find

• The common difference (d).

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Solution

• If the 10th term is -17, then

⠀⠀⠀⠀⠀⠀❍ n = 10

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• We know that

$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{a_n = a + (n - 1)d{\bigstar}}}}$

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$\tt\longmapsto{a_{10} = 10 + (10 - 1)d}$

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$\tt\longmapsto{-17 = 10 + (9)d}$

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$\tt\longmapsto{-17 - 10 = 9d}$

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$\tt\longmapsto{9d = -27}$

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$\tt\longmapsto{d = \dfrac{-27}{9}}$

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$\bf\longmapsto{d = -3}$

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Hence,

• The common difference (d) of the given A.P is -3.

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