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Studentka2010 [4]
3 years ago
14

14.2= -6.8+4.2d (solve)

Mathematics
1 answer:
Vilka [71]3 years ago
3 0
<span>14.2= -6.8+4.2d
4.2d = 14.2 + 6.8
4.2d = 21
     d = 21 / 4.2
     d = 5</span>
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The volume of a rectangular prism is 125 units ?. If the height is 25 units, what is the area,
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KatRina [158]

Answer:

n = 60.22

Step-by-step explanation:

Hello

To find Sn, we need to draw out equations for each a₇ and a₁₉

In an arithmetic progression,

Sn = a + (n-1)d

Where Sn = sum of the A.P

a = first term

d = common difference

a₇ = 32

32 = a + (7-1)d

32 = a + 6d ........equation (i)

a₁₉ = 140

140 = a + (19-1)d

140 = a + 18d .........equation (ii)

Solve equation (i) and (ii) simultaneously

From equation (i)

32 = a + 6d

Make a the subject of formula

a = 32 - 6d .....equation (iii)

Put equation (iii) into equation (ii)

140 = (32 - 6d) + 18d

140 = 32 - 6d + 18d

Collect like terms

140 - 32 = 12d

12d = 108

d = 108 / 12

d = 9

Put d = 9 in equation (i)

32 = a + 6(9)

32 = a + 54

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Sn = a + (n - 1)d

Substitute and solve for n

511 = -22 + (n-1) × 9

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511 = -31 + 9n

511 + 31 = 9n

542 = 9n

n = 542 / 9

n = 60.22

5 0
3 years ago
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