give 3 example of problem and solution, sequence
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give 3 example of problem and solution, sequence
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TAnswer:
-Arithmetic Sequences.
How To: Given the first three terms and the last term of a finite arithmetic sequence, find the total number of terms.
Find the common difference d .
Substitute the common difference and the first term into an=a1+d(n−1) a n = a 1 + d ( n − 1 ) .
Substitute the last term for an and solve for n .
-Geometric Sequences.
The general formula for the nth term of a geometric sequence is: an=a1⋅rn−1 where a1=first term and r=common ratio.
-Harmonic Sequences.
A Harmonic Progression (HP) is defined as a sequence of real numbers which is determined by taking the reciprocals of the arithmetic progression that does not contain 0. The formula to calculate the harmonic mean is given by: Harmonic Mean = n /[(1/a) + (1/b)+ (1/c)+(1/d)+