Question

if a10=55 a6=45 find d

Answer 1

Hi mate! Heres ur answer...

The given sequence is an A.P.

Common difference = Second term − First term

                                = 4 − 2

                                = 2

(2) 2,

5

2

, 3,

7

3

,....

The given sequence is not an A.P.

(3) –10, –6, –2, 2...

The given sequence is an A.P.

Common difference = Second term − First term

                                = (−6) − (−10)

                                = 4

(4) 0.3, 0.33, 0.333,...

The given sequence is not an A.P.

(5) 0, –4, –8, –12,...

The given sequence is an A.P.

Common difference = Second term − First term

                                = (−4) − (0)

                                = −4

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Answer 2

Step-by-step explanation:

Given

a10=55

$a10 = 55 \\ a + (10 - 1)d = 55 \\ a + 9d = 55 \: \: \: \: \: \: \: \: \: \: \: equation \: 1 \\ \\ a6 = 45 \\ similarly \\ a + 5d = 45 \: \: \: \: \: \: \: \: \: \: equation \: 2 \\ \\ equation1 - equation2 \\ \\ a + 9d - (a + 5d)= 55 - 45 \\ a + 9d - a - 5d= 10 \\ 4d = 10 \\ d = \frac{10}{4} \\ d = \frac{5}{2} or \: 2.5$

Hope it helps you...

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