Question
How many terms are there in the geometric progression 7,
14, 28, ......, 14336?Solution
Ratio range- Up to 7,14, 28β¦β¦14336 posts a=7, r=2 Tn = 14336 Tn = arn-1 arn-1 = 14336 7(2)n-1 = 14336 2n-1 = 2048 2n-1 = 211 (comparing powers) n-1=11 n=12.
A vessel contains 270 litres of milk and water in the ratio of 5:4. If 15 litres of milk is added to the mixture, then find the ratio of milk to water i...
The relationship between the quantity of refined oil and mustard oil in Mixtures 'P,' 'Q,' and 'R' is described as 7:3, 1:1, and 3:2, respectively. If t...
161 litres mixture of milk and water is mixed in an empty container in the ratio 5:2, respectively. If 14 litres of mixture is replaced with 14 litres o...
A mixture contains milk and water in the ratio 4:5, respectively. If half of the mixture is replaced with 5 litres of water, then the resultant mixture...
A company manufactures two types of beverages: Beverage X, which costs 20 per liter, and Beverage Y, which costs 32 per liter. They aim to produce 150 l...
- 360 litres of mixture 'P' has milk and water in the ratio 4:1, and 240 litres of mixture 'Q' has them in the ratio 5:3. What is the ratio of milk to water ...
- Out of 180 litres of paint mixture, the ratio of red to blue paint is 5:4. What quantity of red paint should be added to make the ratio 7:5?
Milk and water are mixed in vessel A in the ratio of 5:2 and in vessel B in the ratio of 8 : 5. In what ratio should quantities be taken from the two ve...
Two bottles namely P and Q contained pure milk and pure water in the quantity of (a+135) litre and (a-10) litre respectively. If 40% and 36% from bottle...
- In mixture βMβ, the ratio of milk to water is 6:5. In another mixture βNβ, the ratio is 4:7. If 110 litres of βMβ and 77 litres of βNβ are ...