SOLUTION: consider the progression 11,8,5,2,....... Determine whether he number -150 is a term of this Progression? Justify by using mathematical rules

Question 1139168: consider the progression 11,8,5,2,.......
Determine whether he number -150 is a term of this Progression? Justify by using mathematical rules
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
General term of the arithmetic sequence:

Do you find a whole number n, for ?

NO.

Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.

The first term 11 gives the remainder of 2 when divided by 3, and the common difference of the AP is 3. It means that every member of the progression gives a remainder of 2 when divided by 3 - but the number -150 is a multiple of 3, i.e. gives the remainder 0 when divided by 3. Therefore, the number -150 is not the term of the progression.

Solved.

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