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allsm [11]
4 years ago
15

How can you tell how many tens are in a number

Mathematics
1 answer:
Delvig [45]4 years ago
8 0
Based off of the first digit in a two-number value like 50 means there's 5 tens.
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A stack of logs has 27 logs on the bottom layer each subsequent layer has five fewer logs in the previous layer at the top layer
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Answer:

S=252logs

Step-by-step explanation:

bottom layer has a1 = 25

second layer has a2 = a1 - 1 = 24

third layer has a3 = a2 - 1 = a1 - 2 = 23

.

.

n-th layer has an an = a1 - n = 25 - n

the top layer contains an = 25 - n and we know that the top layer has 11 logs thus

25 - n = 11

n = 25 - 11

n = 14

there are 14 layers

the total number of logs is the sum of the first 14 members of the Arithmetic Progression 25, 24, 23, 23,.....11 where

an = 25 - n

Sn = (n/2)(a1 + an) and since n = 14

S14 = (14/2)(25 + 11) = 7*36 = 252

S14 = 252 logs

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