The first term of a geometeic series is 1, the common ratio is 2, and the sum of the series is 63. how many terms are there in this geonetric series?

6 terms

Step-by-step explanation:

To find the number of terms we will use the formula:

Sn = a(1-r^n)/1-r

where a is the first term= 1

r is the common ratio = 2

Sn is the sum of series = 63

n is the number of terms = ?

Now substitute the values in the formula:

Sn = a(1-r^n)/1-r

63= 1(1-2^n)/1-2

63=1(1-2^n)/-1

63*-1 = 1(1-2^n)

-63 = 1-2^n

Now combine the constants:

-63-1= -2^n

-64= -2^n

64= 2^n

2^6 = 2^n

When the base are same powers are equal to each other.

6=n

Thus there are 6 terms

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

#faazmessi

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5