M̥ͦi̥ͦs̥ͦh̥ͦḁͦ u̥ͦs̥ͦe̥ͦd̥ͦ 1/4 o̥ͦf̥ͦ ḁͦ c̥ͦḁͦr̥ͦt̥ͦo̥ͦn̥ͦ o̥ͦf̥ͦ 12 e̥ͦg̥ͦg̥ͦs̥ͦ t̥ͦo̥ͦ m̥ͦḁͦk̥ͦe̥ͦ ḁͦn̥ͦ o̥ͦm̥ͦe̥ͦl̥ͦe̥ͦ
t̥ͦ.H̥ͦo̥ͦw̥ͦ m̥ͦḁͦn̥ͦy̥ͦ e̥ͦg̥ͦg̥ͦs̥ͦ d̥ͦi̥ͦd̥ͦ s̥ͦh̥ͦe̥ͦ u̥ͦs̥ͦe̥ͦ?
2 answers:
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Answer: The total number of logs in the pile is 6.
Step-by-step explanation: Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two logs.
We are to find the total number of logs in the pile.
Let n represents the total number of logs in the pile.
Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with
first term, a = 32 and common difference, d = -6.
We know that
the n-th term of an arithmetic sequence with first term a and common difference d is
Since there are n logs in the pile, so we get
Thus, the total number of logs in the pile is 6.