The following statement is false. rewrite the statement to make it true. the sum of the infinite series 3 + 4 + 5 + 6 + … is infinity ∞ . (this symbol is infinity.)

solution:

true,

we haveben asked to check that wheather the given option is true or false.

3 + 4 + 5 + 6 + … is   ∞

as we can see the series is an atrithmetic series.

and we know that the sum of n terms of an arithemtic   series with first erm

is given by the formula

now if we take the value of n is not defined i.e   ∞ then the sum will be undefined i.e   ∞. hence the statement is true.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x