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ololo11 [35]
4 years ago
14

Write 2 litres 700 ml to the nearest litre

Mathematics
1 answer:
cestrela7 [59]4 years ago
5 0
The nearest litre should be 3
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d.

Step-by-step explanation:

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An Ap is such that 5 th term is three times the 2nd term.given further that the sum of the 5th,6th,7th,8th term is240,calculate
Fiesta28 [93]

Answer:

  5

Step-by-step explanation:

The general term of an arithmetic progression is ...

  an = a1 +d(n -1)

where a1 is the first term and d is the common difference.

Here we are given that ...

  a5 = 3×a2

  a5 +a6 +a7 +a8 = 240

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In terms of a1 and d, these tell us ...

  a1 +d(5 -1) = 3(a1 +d(2 -1))

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  d = 2a1 . . . . . . . . . . . subtract a1+3d

and ...

  (a1 +4d) +(a1 +5d) +(a1 +6d) +(a1 +7d) = 240

  4a1 +22d = 240

Substituting for d, we have ...

  4a1 +22(2a1) = 240

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The first term is 5.

8 0
3 years ago
A prism has a surface area of 120 ft2. Which sentence describes the effect of measuring the surface area in square yards? A. The
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The fifth term of an arithmetic sequence is 100, and the common difference is 4. Find the first three terms of the sequence.
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\bf a_n=a_1+(n-1)d\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term}\\&#10;d=\textit{common difference}\\&#10;--------------\\&#10;a_5=100\\&#10;n=5\\&#10;d=4&#10;\end{cases}&#10;\\\\\\&#10;a_5=a_1+(5-1)4\implies 100=a_1+(5-1)4&#10;\\\\\\&#10;\textit{solve for }a_1\textit{ to find the first term}

then use the common difference "d", to get the 2nd and 3rd terms

-------------------------------------------------------------------------------------------

\bf a_5=a_1+(5-1)4\implies 100=a_1+(5-1)4\implies 100=a_1+(4)4&#10;\\\\\\&#10;100=a_1+16\implies 100-16=a_1\\\\ 84=a_1\quad &#10;\begin{cases}&#10;a_1=&84\\&#10;a_2=84+4\to &88\\&#10;a_3=88+4\to  &92&#10;\end{cases}
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4 years ago
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