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Q: WHAT IS THE Th TERM IN AN ARITHMETIC SEQUENCE WHOSE Th TERM IS -25 AND HAS A COMMON DIFFERENCE -12?

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6

It's technically called an arithmetic sequence

Since there are no graphs following, the answer is none of them.

An arithmetic sequence.

The graph will be a set of disjoint points with coordinates [n, 0.5*(1+n)]

It is a progression of terms whose reciprocals form an arithmetic progression.

-8

It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b

Given an arithmetic sequence whose first term is a, last term is l and common difference is d is:The series of partial sums, Sn, is given bySn = 1/2*n*(a + l) = 1/2*n*[2a + (n-1)*d]

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The way of asking the question is wrong. It is known as common difference not common ratio. Here a = 1 , d= 3 a7=? we know that , an = a + (n-1)d a7= 1 +6x3= 19

Find the 7th term of the geometric sequence whose common ratio is 1/2 and whose first turn is 5

-8

An arithmetic-geometric mean is a mean of two numbers which is the common limit of a pair of sequences, whose terms are defined by taking the arithmetic and geometric means of the previous pair of terms.

The numbers are: 1-sqrt(2), 1 and 1+sqrt(2) or approximately -0.414214, 1 and 2.414214

-8

3

This question is impossible to answer without knowing the difference between successive terms of the progression.

16 and 8

A sequence is a function ! whose domian is the set of natural numbers

It could be -3 or +3.

The answer is: 3

No, such a sequence is not posible.

A convergent sequence is an infinite sequence whose terms move ever closer to a finite limit. For any specified allowable margin of error (the absolute difference between each term and the finite limit) a term can be found, after which all succeeding terms in the sequence remain within that margin of error.

There can be no greatest common denominator. If you have a set a numbers whose least common denominator is L then 2*L, 3*L, … are all common denominators. There is no end to that sequence and so no greatest.