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Justice
Mathematics
20 January, 12:10
Find the missing term in this geometric sequence:
2, (?),98
+2
Answers (
1
)
Darian Vang
20 January, 12:14
0
The missing term is 14
Step-by-step explanation:
The sequence is a geometric sequence. The first term is 2 and the third term is 98. The question wants us to find the second term.
Since we know the 3rd term the common ratio can be solved using the nth term equation for geometric sequence
nth term = arⁿ⁻¹
where
r = common ratio
n = number of terms
nth term = arⁿ⁻¹
98 = 2r³⁻¹
98 = 2r²
divide both sides by 2
r² = 98/2
r² = 49
square root both sides
r = √49
r = 7
The common ratio is known let us find the second term which is the missing term.
nth term = arⁿ⁻¹
arⁿ⁻¹
2 * 7²⁻¹
2 * 7 = 14
The missing term is 14
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