Calculate the Tenth Term in the Quadratic Sequence 2n²

Question

2n2 2n^2

What is the tenth term in the sequence above?

Video Solution

Solution Steps

00:00 Find the 10th element
00:04 Let's substitute the position of the matching element in the formula and solve
00:17 Always solve exponents first
00:26 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll determine the tenth term of the sequence based on the formula 2n2 2n^2 .

  • Step 1: Recognize that the sequence is defined by 2n2 2n^2 for any term n n .
  • Step 2: To find the tenth term, substitute n=10 n = 10 into the formula:

2n2=2(10)2 2n^2 = 2(10)^2

  • Step 3: Calculate the square of 10:

(10)2=100 (10)^2 = 100

  • Step 4: Multiply by 2 to find the sequence value at that position:

2×100=200 2 \times 100 = 200

Therefore, the tenth term in the sequence is 200 200 .

The correct answer choice is: 200 200 .

Answer

200