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) ?

Question

Aaliyah

Mathematics

18 February, 23:42

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) ?

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Answers (1)

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Royce Blake · 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