On each birthday Cheatali has recieved from her father rs.25 times of her age. Find the total sum Cheatali has recieved by the time she became 21 years old.
Answers
Answer:
The total sum Cheatali has recieved by the time she became 21 years old = Rs 5775
Step-by-step explanation:
Given that:
- On each birthday Cheatali has recieved from her father Rs 25 times of her age.
To find:
- The total sum Cheatali has recieved by the time she became 21 years old.
We have to write the amount of money received by Cheatali when she was:
1 year old = Rs (25 × 1)
2 years old = Rs (25 × 2)
3 years old = Rs (25 × 3)
.
.
.
21 years old = Rs (25 × 21)
Formula used:
Sₙ = [n(a + l)]/2
Where,
Sₙ = Sum of n terms.
n = Number of terms.
a = First term.
l = Last term.
We have,
n = 21
a = (25 × 1) = 25
l = (25 × 21) = 525
Finding the total sum Cheatali has recieved by the time she became 21 years old:
→ S₂₁ = [21(25 + 525)]/2
→ S₂₁ = [21(550)]/2
→ S₂₁ = (21 × 550)/2
→ S₂₁ = 11550/2
→ S₂₁ = 5775
∴ Total sum Cheatali received = Rs 5775
Answer:
Given :-
On each birthday Cheatali has recieved from her father rs.25 times of her age. Find the total sum Cheatali has recieved by the time she became 21 years old.
Solution :-
At first finding l
l = Rupees of year one × 22l1
L = 25 × 21
l = 525
Sn = [n (a + l)/2]
S21 = [21(25 + 525)/2]
S21 = [ 21 × 550/2]
S21 = 11500/2
S21 = 5775
Hence, Done