Answer:
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
