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Shalnov [3]
3 years ago
5

Write down in terms of n, an expression for the nth term

Mathematics
1 answer:
Scilla [17]3 years ago
3 0

Answer:

{ \bf{(a).}} \\ { \tt{ {n}^{th}  = a + (n - 1)d }} \\ { \tt{ {n}^{th} = 6 + (n - 1)  \times - 4 }} \\  {n}^{th}  =  10 - 4n \\  \\ { \bf{(b).}} \\ { \tt{ {n}^{th}  =  - 8 + (n- 1) \times - 7 }} \\ { \tt{ {n}^{th}  =  -1 - 7n}}

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a motorboat travels 371 kilometers in 7 hours going upstream. it travels 525 kilometers going downstream in the same amount of t
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Answer:

Speed of boat in still water = 64 km/hr

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Step-by-step explanation:

Let the speed of motorboat in still water = x km/hr

Let the speed of current = y km/hr

Motorboat travels 371 km in 7 hours going upstream.

Speed of motorboat while going upstream = speed of motorboat in still water - speed of current = (x-y)

=> \[x-y = \frac{371}{7}\]

=> \[x-y = 53\] ------------------------------(1)

Motorboat travels 525 km in 7 hours going downstream.

Speed of motorboat while going downstream = speed of motorboat in still water + speed of current = (x+y)

=> \[x+y = \frac{525}{7}\]

=> \[x+y = 75\] -----------------------------(2)

Solving for x and y from (1) and (2):

Adding (1) and (2):

2x = 128

=> x = 64

Substituting the value of x in (1), y = 11

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