The first two terms of an arithmetic sequence are 1/8 and 19/24. What is the difference between every pair of consecutive terms in

2 thoughts on “The first two terms of an arithmetic sequence are 1/8 and 19/24. What is the difference between every pair of consecutive terms in”

1. Step-by-step explanation:

   Given:–

   The first two terms of an arithmetic sequence are 1/8 and 19/24.

   To find:–

   What is the difference between every pair of consecutive terms in the sequence?

   Solution:–

   Given that

   The first two terms of an A P = 1/8 and 19/24

   First term = 1/8

   Second term = 19/24

   Since they are in the AP then the common difference between the two consecutive terms is equal or same throughout the sequence

   => Common difference = (19/24)-(1/8)

   =>d = (19-3)/24

   (Since LCM of 24 and 3 is 24)

   =>d= 16/24 or 2/8

   Answer:–

   The difference between every pair of consecutive terms in the sequence is 16/24 or 2/8

   Used formula:–

   In an AP , a is the first term and d is the common difference then d = an – an-1

   Where, an is the nth term and an-1 is the (n-1)th term of the AP.

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2. Answer:

   Have a look at 1/8 and 19/24. Convert 1/8 to 3/24. Note that 19/24 is obtained by adding 16/24 to 3/24. Thus, the common difference is 16/24, or 8/12, or 4/6, or 2/3.

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