Answer:
-84
Step-by-step explanation:
The formula for the nth term of a geometric progression is
Un = ar^n- 1
The sum of the first six terms of a geometric series (U6) = 21/16
Common ratio = -1/2 ,
a = First term ??
21/16 = a × (-1/2 )^6- 1
21/16 = a ×(-2^-1)^5
21/16 = a × -2^-6
Cross Multiply
16 × a × -2^-6 = 21
a = 21/16 × -2^-6
a = 21/16 ×- 1/2⁶
a = 21/16 × -1/64
a = 21 ÷(-1/4)
a = 21 × -4
a = -84
The first term = 84
The answer is 5 hope that helps
Technically nothing times 3 get you 16 but 3 times 5 equals 15 which is the closest answer but the answer would be 5.3
Answer:
66 degree
Step-by-step explanation:
given:
angle FAB = 48 degree
angle ECB = 18 degree
in triangle HBC , angle H is also 48 degree degree since the line is parallel the connection between angle H and angle A is alternate interior angle and alternate interior angle are always equal.
so angle H = 48 degree
in triangle HBC
angle H + angle C = angle ABC (sum of two interior opposite angles are equal to the exterior angle formed)
48 + 18 = angle ABC
66 = angle ABC
