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.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.