Please help me for the brainliest answer
1 answer:
Answer:
aₙ= -2n²
Step-by-step explanation:
<h2><u>Solution 1:</u></h2>
The sequence:
The difference between the terms:
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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