Step-by-step explanation:
The following sequence is in AP
Suppose the first term is denoted by"a" and the common difference by"d"
a=3
d=4.5-3= 1.5
the nth term = a + (n-1)d
= 3+(n-1)1.5
=3+1.5n -1.5
=1.5+1.5n
Answer:
2107
Step-by-step explanation:
In this type of question we have to follow these steps
1) Find the biggest number in interval which is divisible by seven
For this question it is 196
2)Find the smallest number in interval which is divisible by seven
For this question it is 105
3) Then subtract 105 from 196
196-105=91
4) Divide 91 by seven
91:7=13
5)Lastly we have to add 1 to the 13
13+1=14
So we found that we have 14 different numbers that divisible by seven in this interval. So next steps will be about sum of them
To find them sum we have a formula:
(biggest number + smaller number) x number of terms / 2
(196+105) x 14 /2 = 2107
It is 800 because you multiply each one by 2
Answer:
+ 64
Step-by-step explanation:
Given,
M = 2
E = 64
To find : V = ?
V = + 2E/M
V = + 2 x 64 / 2
= + 2 x 32
V = + 64
Let x be the month on which the fee for two plans are equal.
Therefore,
150 + 10x = 50 + 30x
10x - 30x = 50 - 150
-20x = -100
x = 5
Cumulative cost = 150 + 10(5)
= 150 + 50
= 200
Hence, Karan will pay a cumulative cost of $200 dollars with either plan to go to the gym for 5 months.
