Question

63360 inches, and the risers of the steps of the capitol building are 8 inches high. Barry is visiting the capitol, and as he climbs up from the one-mile step, his altitude above sea level, in inches, is given by the following sequence: 63,360, 63,368, 63,376, 63,384, 63,392, ... What is Barry's altitude above sea level, in inches, when he is standing on the 55th step above the one-mile step (counting the one-mile step itself as step #1)?

Answer 1

This is an arithmetic sequence question
The formula for the nth term of a sequence is 1+(n-1)d where a is the first term(63360), n is the 55th term, d is the common difference between consecutive terms(63368-63360)=8
Altitude on 55th step= 63360+(55-1)8
=63360+(54x8)
=63360+432
=63792 inches