Question

consider the arithmetic sequence in between 100 and 300 which leaves remainder 3nwhen divided by 5.find the first term of the sequence

​

Answer 1

Step-by-step explanation:

Let Nishu take x days to complete the work alone.

Let Nishu take x days to complete the work alone.∴ Total work done by Nishu in 1 day = 1x

Let Nishu take x days to complete the work alone.∴ Total work done by Nishu in 1 day = 1xAlso, Pintu takes (x + 6) days to complete the work alone.

Let Nishu take x days to complete the work alone.∴ Total work done by Nishu in 1 day = 1xAlso, Pintu takes (x + 6) days to complete the work alone.∴ Total work done by Pintu in 1 day = 1x+6

Let Nishu take x days to complete the work alone.∴ Total work done by Nishu in 1 day = 1xAlso, Pintu takes (x + 6) days to complete the work alone.∴ Total work done by Pintu in 1 day = 1x+6Total work done by both in 1 day = (1x + 1x+6)

Let Nishu take x days to complete the work alone.∴ Total work done by Nishu in 1 day = 1xAlso, Pintu takes (x + 6) days to complete the work alone.∴ Total work done by Pintu in 1 day = 1x+6Total work done by both in 1 day = (1x + 1x+6)But, both take 4 days to complete the work together.

Let Nishu take x days to complete the work alone.∴ Total work done by Nishu in 1 day = 1xAlso, Pintu takes (x + 6) days to complete the work alone.∴ Total work done by Pintu in 1 day = 1x+6Total work done by both in 1 day = (1x + 1x+6)But, both take 4 days to complete the work together.∴ Total work done by both in 1 day = 14

Let Nishu take x days to complete the work alone.∴ Total work done by Nishu in 1 day = 1xAlso, Pintu takes (x + 6) days to complete the work alone.∴ Total work done by Pintu in 1 day = 1x+6Total work done by both in 1 day = (1x + 1x+6)But, both take 4 days to complete the work together.∴ Total work done by both in 1 day = 14∴ 4(2x + 6) = x(x + 6)

Let Nishu take x days to complete the work alone.∴ Total work done by Nishu in 1 day = 1xAlso, Pintu takes (x + 6) days to complete the work alone.∴ Total work done by Pintu in 1 day = 1x+6Total work done by both in 1 day = (1x + 1x+6)But, both take 4 days to complete the work together.∴ Total work done by both in 1 day = 14∴ 4(2x + 6) = x(x + 6)∴ 8x + 24 = x2 + 6x

Let Nishu take x days to complete the work alone.∴ Total work done by Nishu in 1 day = 1xAlso, Pintu takes (x + 6) days to complete the work alone.∴ Total work done by Pintu in 1 day = 1x+6Total work done by both in 1 day = (1x + 1x+6)But, both take 4 days to complete the work together.∴ Total work done by both in 1 day = 14∴ 4(2x + 6) = x(x + 6)∴ 8x + 24 = x2 + 6x∴ x2 + 6x – 8x – 24 = 0

Let Nishu take x days to complete the work alone.∴ Total work done by Nishu in 1 day = 1xAlso, Pintu takes (x + 6) days to complete the work alone.∴ Total work done by Pintu in 1 day = 1x+6Total work done by both in 1 day = (1x + 1x+6)But, both take 4 days to complete the work together.∴ Total work done by both in 1 day = 14∴ 4(2x + 6) = x(x + 6)∴ 8x + 24 = x2 + 6x∴ x2 + 6x – 8x – 24 = 0∴ x2 – 2x – 24 = 0

Let Nishu take x days to complete the work alone.∴ Total work done by Nishu in 1 day = 1xAlso, Pintu takes (x + 6) days to complete the work alone.∴ Total work done by Pintu in 1 day = 1x+6Total work done by both in 1 day = (1x + 1x+6)But, both take 4 days to complete the work together.∴ Total work done by both in 1 day = 14∴ 4(2x + 6) = x(x + 6)∴ 8x + 24 = x2 + 6x∴ x2 + 6x – 8x – 24 = 0∴ x2 – 2x – 24 = 0∴ x2 – 6x + 4x – 24 = 0

Let Nishu take x days to complete the work alone.∴ Total work done by Nishu in 1 day = 1xAlso, Pintu takes (x + 6) days to complete the work alone.∴ Total work done by Pintu in 1 day = 1x+6Total work done by both in 1 day = (1x + 1x+6)But, both take 4 days to complete the work together.∴ Total work done by both in 1 day = 14∴ 4(2x + 6) = x(x + 6)∴ 8x + 24 = x2 + 6x∴ x2 + 6x – 8x – 24 = 0∴ x2 – 2x – 24 = 0∴ x2 – 6x + 4x – 24 = 0∴ x(x – 6)+ 4(x – 6) = 0

Let Nishu take x days to complete the work alone.∴ Total work done by Nishu in 1 day = 1xAlso, Pintu takes (x + 6) days to complete the work alone.∴ Total work done by Pintu in 1 day = 1x+6Total work done by both in 1 day = (1x + 1x+6)But, both take 4 days to complete the work together.∴ Total work done by both in 1 day = 14∴ 4(2x + 6) = x(x + 6)∴ 8x + 24 = x2 + 6x∴ x2 + 6x – 8x – 24 = 0∴ x2 – 2x – 24 = 0∴ x2 – 6x + 4x – 24 = 0∴ x(x – 6)+ 4(x – 6) = 0∴ (x – 6) (x + 4) = 0