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Tasya [4]
3 years ago
14

Find the sum of the sequence. 42+43+44+45+...+107

Mathematics
1 answer:
8090 [49]3 years ago
8 0

Answer:

4917

Step-by-step explanation:

<u>Given sequence: </u>

  • 42, 43, 44, 45, ..., 107

This is AP with common difference of 1, the first term of 42 and the last term of 107

<u>Number of terms:</u>

  • 107 - 42 + 1 = 66

<u>Sum of the terms:</u>

  • Sₙ= 1/2*n*(a₁+aₙ)
  • Sₙ= 1/2*66*(42+107) =  4917

<u>Answer is:</u> 4917

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7 0
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The first term of a geometric sequence is 1, and the common ratio is 10. What is the 10th term of the sequence?
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-9/8 = v - 1/2<br><br> V = ????
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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Some help would be splendid.
Alborosie

Answer:

£35,020

Step-by-step explanation:

Amount paid to David after increase

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Thulani goes to the library every 7 days. He goes to the market every 4 days
emmasim [6.3K]

Thulani goes to both the library and the market for 5 more times during the year.

Step-by-step explanation:

Thulani goes to the library every 7 days. He goes to the market every 4 days.

We have to calculate the Least Common Multiple (LCM) to analyze the next common day on which he will go to both places.

The factors of 7 are:  1 x 7

The factors of 4 are: 2 x 2

Therefore, the LCM would be = 1 x 7 x 2 x 2

LCM = 28

LCM indicates that Thulani will go to both places on every 28th day.

To calculate the number of times (n) he will go to both places on same day. We can use the formula mentioned below:'

n = \frac{Number of days}{frequency}

Here frequency represents the LCM = 28.

The number of days are:

August: 30 (we are excluding 1st August)

September: 30

October: 31

November: 30

December: 31

Total  = 152

By putting the values in formula, we get

n = \frac{152}{28}

n = 5.42

As, the number of times can only be a whole number. Therefore, Thulani goes to both the library and the market for 5 more times during the year.

Learn more:

The following links have more information

brainly.com/question/12419898

brainly.com/question/12764620

Keywords: LCM, same day

#learnwithBrainly

7 0
3 years ago
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