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3 votes
Complete the sequences below :

• please explain the formula in simple words.

a) 18035, 18070 , 18105, ........... , .............. .

b) 3800, 4100, 4400, ............, ............ .

c) 17200, 18300, 19400, .............. , ............ .



User Cheryll
by
5.7k points

1 Answer

5 votes

Answer:

a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n

b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n

c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n

Explanation:

They are all arithmetic progressions (AP) with a common difference, i.e. all differences of one term from the subsequent term are identical.

The general formula is

T(n) = T(0)+n*D

where

n = the term number

T(n) = nth term (considering the first term to be the zeroth term.

D = common difference

a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n

b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n

c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n

User Von Oak
by
5.2k points
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