The 43rd of an AP is 26 find the first term of progression given that the common difference is 1/2
well, you have
a+42(1/2) = 26
a+21 = 26
a = 5
Tn=a+(n-1)d=26
T43=a+(43-1)1/2=26
a+(42)×1/2=26
a+21=26
a=26-21
=5
the 43 ap of 26 find the first term with common different of halp
A +42(1/2)=26
A +21=26
A=26-21
A=5
A=5
To find the first term of the arithmetic progression (AP), we can use the formula for finding the nth term of an AP:
An = A1 + (n - 1)d,
where An is the nth term, A1 is the first term, n is the term number, and d is the common difference.
Given that the 43rd term, An, of the AP is 26 and the common difference, d, is 1/2, we can substitute these values into the formula:
26 = A1 + (43 - 1)(1/2).
Now we simplify the equation:
26 = A1 + 42/2.
26 = A1 + 21.
Next, we isolate the A1 term:
A1 = 26 - 21.
A1 = 5.
Therefore, the first term of the arithmetic progression is 5.