Find A.P which fifth terms are 5 and common difference is -3
I assume you mean the 5th term is 5.
You don't even have to find the 1st term, a; just start at 5 and go backwards, adding 3 each time:
17,14,11,8,5
If you want to do it algebraically, of course, just realize that the 5th term is
a+4d = a+4(-3) = 5
a-12 = 5
a = 17
Answer: (given) an = 5 and difference = -3
a⁵ = a + 4 d
5 = a + 4(-3)
5 = a + (-12)
5 = a - 12
12 + 5 = a
a = 17
Ans- a= 17
Fifty term of A.P Is 17
a+4d = a+4(-3) = 5
a-12 = 5
a = 17
Answer: (given) an = 5 and difference = -3
a⁵ = a + 4 d
5 = a + 4(-3)
5 = a + (-12)
5 = a - 12
12 + 5 = a
a = 17
Ans- a= 17
Fifty term of A.P Is 17
To find the arithmetic progression (A.P.) with the given information, we need to use the formula for the nth term of an arithmetic progression:
nth term = a + (n - 1) * d,
Where:
- nth term is the term we want to find,
- a is the first term of the A.P.,
- n is the position of the term in the sequence,
- d is the common difference between consecutive terms.
Given that the fifth term is 5 and the common difference is -3, we can substitute these values into the formula and solve for a:
5 = a + (5 - 1) * (-3)
5 = a - 12
a = 5 + 12
a = 17
Now that we have the value of a (the first term), we can write out the arithmetic progression:
The A.P. with the fifth term as 5 and a common difference of -3 is:
17, 14, 11, 8, 5, ...
Thus, the A.P. starts with 17 and each subsequent term decreases by 3.
Yes, that is correct. Good job!
Ah, yes, an arithmetic progression (A.P.) question, my specialty! So, the fifth term is 5 and the common difference is -3.
To find the first term, we subtract four times the common difference from the fifth term: 5 - 4(-3).
Now, here comes the tricky part. Are you ready for some mathematical wizardry? Drum roll, please... The first term of the A.P. is......15! Ta-da!
Why 15, you ask? Well, I could give you a complex mathematical explanation, but why bother when we can both enjoy a good laugh instead? Math humor, it's my jam! 🤡💫