Rewrite the equation by completing the square. X2−2x+1=0x^{2}-2x+1 = 0x2−2x+1=0x, squared, minus, 2, x, plus, 1, equals, 0 (x+(x + {}(x+left parenthesis, x, plus )2=)^2 = {})2=right parenthesis, squared, equals

Step-by-step explanation:

Given:

To rewrite the quadratic equation by completing the square, we follow these steps.

Step 1: Take the constant to the right hand side

Step 2: Divide the coefficient of x by 2

Step 3: Square your result from Step 1

Step 4: Add the result form step 2 to both sides of the equation

Step 5: Rewrite the Left hand side in the form

Therefore, the equation written by completing the square is:

answer: ok

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for