Math, asked by laurencatipon2, 13 hours ago

Set A consists of numbers in the arithmetic sequence 15, 24, 33,..., and Set B consists of the numbers in the arithmetic sequence 21, 27, 33,.., What is the sum of the three smallest numbers common to both sets?​

Answers

Answered by amishagoswami273
0

Step-by-step explanation:

The common difference of sequence A is 6

The common difference of sequence B is 9

Their smallest common number is 33, since we see that's the 3rd number

in each sequence. The sequences will have the next common term when we

have added enough 6's to 33 in A and enough 9's to 33 in B so that the

number of 6's added in A and the number of 9's added in B will be a

multiple of both 6 and 9, or a multiple of 18. Therefore, the sequence

of common terms will have first term 33, and common difference 18, the

LCM of 6 and 9.

So the first five terms of the sequence of numbers common to both sets

is 33, 51, 69, 87, 105. Their sum is 345.

Edwin

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