Answer:
The 24th term is 80 and the sum of 24 terms is 1092.
Explanation:
Given that,
The arithmetic series is
11,14,17,........24
First term a = 11
Difference d = 14-11=3
We need to calculate the 24th term of the arithmetic sequence
Using formula of number of terms

Put the value into the formula



We need to calculate the sum of the first 24 terms of the series
Using formula of sum,

Put the value into the formula


Hence, The 24th term is 80 and the sum of 24 terms is 1092.
Answer:
The current in the motor in this case is 13.2 A
Explanation:
Given:
Resistance
5 Ω
Emf
V
Induced emf
V
When motor run at half speed due to load increased then induced emf is also reduced to half of its value
So new induced emf in our case is given by,
V

Where


A
Therefore, the current in the motor in this case is 13.2 A
The complete equation is: 92238U --> 90234Th + 42He
This type of radiation is alpha decay in which an alpha particle is a Helium nucleus with 2 protons and 2 nuetrons. This nucleus/alpha particle(s) are released to stabilize the radioactive atom, in this case, the 92238Uranium.