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Hlle Edit View Favorites Tools Help € http--psidstudies.adudcn as https--ecfflmb circl 1 (3) S i nis question: 1 p https.-ecf.flmbcircl 1( Outl Write the first five terms of the geometric sequence with the first term, a,--6, and common ratio, r=-1. The first term is (Type an integer or a simplified fraction.) The second term is (Type an integer or a simplified fraction.) The third term is (Type an integer or a simplified fraction.) The fourth term is.(Type an integer or a simplified fraction.) The fifth term is (Type an integer or a simplified fraction.) RecExplanation / Answer
Geometric sequence is a sequence of numbers that follows pattern where the next term is found by multiplying
by constant called common ratio r.
an = a1 rn-1
Where a1 is first term and r is common ratio.
Given, a1 = -6, r = -1
First term is found by putting n = 1 in above formula,
The first term is
a1 = a1 r1-1
a1 = -6 * 1
The first term is a1 = -6
Similarly, second term is found by putting n = 2
a2 = a1 r2-1
= -6 * (-1)1
= 6
The second term a2 = 6
Third term is found by putting n = 3
a3 = a1 r3-1
= -6 * (-1)2
= -6
The third term is -6
Fourth term is found by putting n = 4
a4 = a1 r4-1
= -6 * (-1)3
= 6
The fourth term is a4 = 6
The fifth term is found by putting n = 5
a5 = a1 r5-1
= -6 * (-1)4
= -6
The fifth term is a5 = -6
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