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3 years ago

What is the common difference of the sequence 7, 13, 19, 25....

Mathematics

1 answer:

stellarik [79]3 years ago

8 0

The common difference is 6

Step-by-step explanation:

Given sequence is:

7, 13, 19, 25....

The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

$a_1 = 7\\a_2 = 13\\a_3 = 19\\a_4 = 25\\d = a_2-a_1 = 13-7 = 6\\d = a_3 - a_2 = 19-13 = 6\\d = a_4-a_3 = 25-19 = 6$

Hence,

The common difference is 6

Keywords: Arithmetic sequence, Common difference

Learn more about arithmetic series at:

#LearnwithBrainly

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katen-ka-za [31]

Answer:

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Step-by-step explanation:

∵ John runs to the market and comes back in 15 minutes

→ Change the min. to the sec. because the unit of his speed is m/s

∵ 1 minute = 60 seconds

∴ 15 minutes = 15 × 60 = 900 seconds

→ Assume that t1 is his time to the market and t2 is his time from

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∵ t1 + t2 = 15 minutes

∴ t1 + t2 = 900 ⇒ (1)

→ Assume that the distance to the market is d

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∵ Time = Distance ÷ Speed

∴ t1 = d ÷ 5 ⇒ (1 ÷ 5 = 0.2)

∴ t1 = 0.2d ⇒ (2)

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∴ t2 = 0.25d ⇒ (3)

→ Substitute (2) and (3) in (1)

∵ 0.2d + 0.25d = 900

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