2 years ago

Please help me for the brainliest answer

Mathematics

1 answer:

Oxana [17]2 years ago

6 0

Answer:

aₙ= -2n²

Step-by-step explanation:

<h2><u>Solution 1:</u></h2>

The sequence:

-2, -8, -18, -32, -50

The difference between the terms:

-6, -10, -14, -18

a₁= -2
a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)
a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)
a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)
...
aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²

As per above, the nth term is: aₙ= -2n²

<h2><u /></h2><h2><u>Solution 2</u></h2>

The sequence:

-2, -8, -18, -32, -50
-2*1, -2*4, - 2*9, -2*25
-2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²
aₙ= -2n²

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