Find The 6th And 5th Terms Of An A.P Whose First Term Is 6 And The Common Difference Is 7.Solution:n=6th,n=5th,(Tn=a+(n-1)d
To find the 6th and 5th terms of an arithmetic progression (A.P.) given the first term (a) and the common difference (d), we can use the formula:
Tn = a + (n-1)d
Let's substitute the values into the formula:
a = 6 (given first term)
d = 7 (given common difference)
To find the 6th term (T6), substitute n = 6:
T6 = 6 + (6-1)*7
= 6 + 5*7
= 6 + 35
= 41
To find the 5th term (T5), substitute n = 5:
T5 = 6 + (5-1)*7
= 6 + 4*7
= 6 + 28
= 34
Therefore, the 6th term of the arithmetic progression is 41, and the 5th term is 34.