PLEASE HELP AND SHOW ALL WORK Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.

1) 4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = 4(4n+1)(8n+7) / 6

2) 1² + 4² + 7² + ... + (3n - 2)² = n(6n² - 3n - 2) / 2

For the given statement Pn, write the statements P1, Pk, and Pk+1.

3) 2 + 4 + 6 + . . . + 2n = n(n+1)

answer: i believe the answer is e

step-by-step explanation:

the circumference of a circle is, 10.676 cm.

step-by-step explanation:

the formula for circumference of a circle is given by:

where

c is the circumference of a circle and

d is the diameter of a circle.

given: diameter(d) = 3.4 cm and use

substitute these values in [1] we get;

cm

therefore, the circumference of a circle is, 10.676 cm