A collection of dimes is arranged in a triangular array with 18 coins in the base row, 17 in the next, 16 in the next, and so forth. Find the value of the collection.

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06-12-2022
Mathematics

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A collection of dimes is arranged in a triangular array with 18 coins in the base row, 17 in the next, 16 in the next, and so forth. Find the value of the collection.

Sagot :

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zaibfatimarizvi zaibfatimarizvi · Answer 1 · 2022-12-14T21:19:56-05:00

The given arrangements reflect an arithmetic sequence, the value of the collection is $17.10

An arithmetic sequence is an ordered set of numbers that have a common difference between each consecutive term. The formula for the sum of an arithmetic sequence is:

Sn= d[n(n+1)/2]

where n = the number of terms to be added. a = the first term in the sequence. d = the constant value between terms.

As the collection comprises of dimes, the constant value d = 0.1. The number of terms to be added are the rows of array n = 18.

Hence,

Sn= 0.1[18(18+1)/2] = 17.10

Learn more about Arithmetic sequence:

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A collection of dimes is arranged in a triangular array with 18 coins in the base row, 17 in the next, 16 in the next, and so forth. Find the value of the collection.

Sagot :

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