How do I write the rule for the nth term of the sequence -4, 8, -12, 16?

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

6 0

Answer:

Step-by-step explanation:

The result of adding a number plus the next number will be alternating 4,-4,4,-4,4,-4......

-4+8 = 4

8+ -12= -4

-12 +16 =4

16+-20=-4

-20 + 24=4

24+-28 = -4

So you need to calculate what number plus the previous number has as result 4 or -4 alternating

8 + ? = -4

?= -4 -8

?=-12

-12+? =4 ?=12+4 ?=16

16+? =-4 / = -16-4 ?=-20

ANOTHER METHOD

4*-1=-4

4*2=8

4*-3=-12

4*4 = 16

4*-5=-20

4*6=24

4*-7=-28

4*8=32

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Ella and jade both ran a marathone ella finished 4 hours 6 mins and 13 seconds jade finished in 4 hours and 3 mins and 18 second

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Answer:

Jade is faster than Ella by 2 minutes and 55 seconds.

Step-by-step explanation:

We are told that Ella and Jade both ran a marathon. Ella finished marathon in 4 hours 6 mins and 13 seconds. Jade finished marathon in 4 hours and 3 mins and 18 seconds.

We can write 4 hour 6 minutes 13 seconds as 4 hour 5 minutes 73 seconds. 1 minute has been borrowed to the seconds side, and seconds become 13+60 = 73 seconds.

We can see that Ella took more time than Jade. Let us find how much more time Ella took than Jade by subtracting time taken by Jade from time taken by Ella.

$4\text{ hr }5\text{ min }73\text{ sec }-4\text{ hr }3\text{ min }18{ sec }= 2\text{ min }55\text{ sec }$