Question

Find the missing term of the following sequence.

. . . 34, __, 345, . . .

Answer 1

Any other information? Is it an arithmetic or geometric sequence? Any more values?

Answer 2

very old question but will respond so this can be closed

answer choices are

a) 177.5

b) 169.5

c) 189.5

d) 179

let's test whether this could be arithmetic or geometric according to the answer choices:

Answer 3

let's suppose this is arithmetic: the sequence is increasing by some common difference d

let's also call the term in the blank x

according to the previous logic:

34 + d = x
x + d = 345

you can find the missing term x by subtracting the two equations to eliminate d

alternatively you could also just take the average of 34 and 345 since you want the middle term

Answer 4

if you get one of the answer choices you can stop there. but if you don't, let's assume this is geometric w/ some common ratio r

34r = x

xr = 345

you can plug (34r) for x in the second equation and solve for r. then simply find either 34r or 345/r to get the middle term.