The following sequence is an arithmetic sequence. you are now shown very many terms of this sequence, but you are shown enough to fill in the missing number. what number goes in the blank? 14, _,56 ... ?

Question

Mathematics

Sage Schaefer

11 July, 22:05

The following sequence is an arithmetic sequence. you are now shown very many terms of this sequence, but you are shown enough to fill in the missing number. what number goes in the blank? 14, _,56 ... ?

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Jacqueline Walton · Answer 1

because it is arithmetic not geometric 14, x, 56 An = An-1 + d x = 14 + d - - > d = x-14 56 = x + d - - > d = 56-x By substitution x-14 = 56-x 2x = 70 x = 35 the sequence is 14,35,56