Answer: 1110
Step-by-step explanation:
For an arithmetic progression, the nth term is gotten by using the formula:
= a + (n-1)d
Therefore,
7th term = a + 6d = 38 ..... equation i
12 term = a + 11d = 63 ...... equation ii
Subtract equation i from ii
(a + 6d) - (a + 11d) = 38 - 63
-5d = -25
d = 25/5
d = 5
Since d = 5
From a + 6d = 38
a = 38 - 6d
a = 38 - (6×5)
a = 38 - 30
a = 8
The sum of the first 20 terms will be:
= n/2[2a + (n-1)d]
= 20/2[(2×8) + (20-1)5]
= 10[16+(19 × 5)]
= 10(16+95)
= 10(111)
= 1110
Answer:
Aman's age = 20, Arun's age = 28
Step-by-step explanation:
Let
= Aman's age
Let
= Arun's age
- - - -
(Sum of their age is 56 after 4 years in the future)


(Ages are in the ratio 5:7)

Now, we can use substitution to find for Arun's age:



∴ Arun is 
To find for Aman's age, we can use substitution:



∴ Aman is 20
Hope this helps :)
I think the answer is 33 sorry if I’m wrong
Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression

solving the expression

as
so the expression becomes

subtracting 8 from both sides


Dividing both sides by 5


Therefore,

The graph is also attached below.