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S1alvinsarahumb
S1alvinsarahumb S1alvinsarahumb
  • 29-06-2016
  • Mathematics
Answered

find the common difference of the arithmetic sequence. 4, 10, 16, 22, . . . a. two and one half b. two fifths c. 6 d. 14

Verified Answer :

BlueRaze
BlueRaze BlueRaze
  • 29-06-2016
C6 (10-4=6, 16-10=6)
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ColinJacobus ColinJacobus
  • 01-04-2019

Answer:  The correct option is (c). 6.

Step-by-step explanation:  we are given to find the common difference of the following arithmetic sequence:

\(4,~~10,~~16,~~22,~~.~~.~~.\)

In an Arithmetic sequence, the common difference is equal to the difference between two consecutive terms of the sequence.

In the given arithmetic sequence, we have

\(10-4=16-10=22-16=~~.~~.~~.~~=6.\)

So, the common difference of the given arithmetic sequence is 6.

Thus, (c) is the correct option.

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