Prove the formula for all natural numbers n.
?
?
List the steps involved.
?
What will be an ideal response?
Step 2: Assuming that is true, we must prove that
is true. Let's examine
and
.
.
is obtained by substituting k + 1 for n in
.
.
If we add to the both sides of the equation for
, we'll get the equation for
.
Since equation for follows from equation for
, we have demonstrated that
.
?
You might also like to view...
Find the compound amount for the deposit. Round to the nearest cent.$1020 at 3% compounded annually for 8 years
A. $1254.47 B. $1292.14 C. $1264.80 D. $1234.20
Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.x = 8y - y2, x = 0
A. ?
B. ?
C. ?
D. ?
Name the property illustrated by the statement.(3 + 1) + 4 = (1 + 3) + 4
A. Associative Property of Addition B. Inverse Property of Addition C. Commutative Property of Addition D. Distributive Property
Evaluate the algebraic expression for the indicated variable. + c for a = -9, b = 1, c = 19
A. 56 B. -342 C. 304 D. 342