Question

What is a possible value for the missing term of the geometric sequence? 25,_,874,…

Answer 1

• The middle term is 5√874

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Given sequence

• 25, x, 874, ...

To find

• The missing term x

Solution

Since the given is the GP, find the common ratio in terms of given values:

• r = x/25
• r = 874/x

Equate the two values and solve for x to find the missing term:

• x/ 25 = 874/x
• x² = 874*25
• x² = 21850
• x = √21850
• x = 5√874