Find the tenth term of the geometric sequence 2, -6, 18,...
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Find the tenth term of the geometric sequence 2, -6, 18,...
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Answer:
a10 = -39366
Step-by-step explanation:
-6 ÷ 2 = -3
18 ÷ -6 = -3
so the common ratio is -3
an = a1 (r)^n-1
a10 = 2 (-3)^10-1
a10 = 2 (-3)^9
a10 = 2 (-19683)
a10 = -39366
2, -6, 18 rule: ×-3
-54, 162, -486, 1458, -4374, 13122,
-39336
-39336 is the tenth term