Answer:
nth term = 
Step-by-step explanation:
Let us assume that the given sequence is a G.P.
Now, if the first term of the G.P. is a and the common ratio is r, then
Third term = 
.......... (1) and
20th term = 
........... (2)
Now, dividing equation (2) with equation (1) we get
⇒ 
⇒ r = 1.2.
Hence, from equation (1) we get
a(1.2)² = 11
⇒ a = 7.639 (Approx.)
Therefore, the general term of the sequence i.e. nth term = (Answer)
To solve for the unit rate, know that the final answer must be out of 1. Or it is the quantity or amount of something per unit of measurement.
For instance in the above question, the unit rate for 32 teams in 4 divisions would be 8 teams per division.
Likewise for the other question it would be 270/15.
Answer:
cement by 5 Kg
Step-by-step explanation:
add the parts of the ratio, 5 + 4 + 1 = 10 parts
Divide the quantity of concrete by 10 to find the value of one part of the ratio.
110Kg ÷ 10 = 11Kg ← value of 1 part of ratio , thus
5 parts = 5 × 11Kg = 55Kg ← cement required
4 parts = 4 × 11Kg = 44Kg ← sand required
1 part = 11Kg ← gravel required
He requires 55Kg of concrete but only has 50Kg.
He requires 44Kg of sand and has 55Kg
He requires 11Kg of gravel and has 15Kg
Thus he is 5Kg short of cement.
The answer to this equation is six.
