Mathematics, 11.07.2019 13:00, niyag2gi

For the rule of 78, for a 12-month period, the last term in the sequence is 12 and the series sums to 78. for an 10 month period, the last term is and the series sum is . for a 15 month period, the last term is and the series sum is . for a 20 month period, the last term is and the series sum is__ .

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answered: starburst2005

1) For an 10 month period, the last term is 10 and the series sum is 55.

2) For a 15 month period, the last term is 15 and the series sum is 120.

3) For a 20 month period, the last term is 20 and the series sum is 210.

Step-by-step explanation:

Given : For the Rule of 78, for a 12-month period, the last term in the sequence is 12 and the series sums to 78.

To find :

1) For an 10 month period, the last term is__ and the series sum is__ .

2) For a 15 month period, the last term is __ and the series sum is .

3) For a 20 month period, the last term is__ and the series sum is__ .

Solution :

For the Rule of 78, for a 12 month period, the last term in the sequence is 12 and the series sums to 78. It is also defined as,

1+2+3+4+5+6+7+8+9+10+11+12=78

It is an AP with first term 1 and common difference 1.

The formula for sum of n terms is,

$S_n=\frac{n}{2}[a+l]$

Where, a is the first term and l is the last term

1) For an 10 month period, the last term is__ and the series sum is__ .

For an 10 month period, the last term is 10.

$S_{10}=\frac{10}{2}[1+10]$

$S_{10}=5[11]$

$S_{10}=55$

2) For a 15 month period, the last term is __ and the series sum is .

For an 15 month period, the last term is 15.

$S_{15}=\frac{15}{2}[1+15]$

$S_{15}=7.5[16]$

$S_{15}=120$

3) For a 20 month period, the last term is__ and the series sum is__ .

For an 20 month period, the last term is 20.

$S_{20}=\frac{20}{2}[1+20]$

$S_{20}=10[21]$

$S_{20}=210$

answered: Guest

aloha~! my name is zalgo and i am here to you out on this amazing day. to answer your question, yes, nonzero numbers can have a greatest common factor and that would be 1. still don't get it? let me considering every number is divisible by 1 and hence every number has 1 as a factor of theirs. so, if 2 nonzero numbers didn't share any gcf (greatest common factor), they would still have a factor in common and that would be 1.

i hope that this ! : p

"stay and stay proud! " - zalgo

(by the way, do you mind marking me as brainliest? i'd greatly appreciate it! mahalo! x3)

answered: Guest

step by step explanation: when u removing the parentheses and combined them that would be : x+3y-x-y=2y

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For the rule of 78, for a 12-month period, the last term in the sequence is 12 and the series sums t...