1.

Consider an arithmetic sequence with common difference 6 and 7th term 52. Find the 15th term of the arithmetic sequence. Is it possible, to get a difference of 100 between any two terms of this sequence?

Answer»

15th term can be obtained by adding 8 times the common difference to the 7th term.

x15 = x7 + 8d

= 52 + 8 × 6 = 100 

The difference between any two terms of an Arithmetic sequence will be a multiple of com-mon difference. 

100 can’t be the difference be-tween any two terms of this sequence, since it is not a multiple of 6.



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