Question

In an AP the first term is 2 and the last term is 29 and the sum of all thebterms is 185 find common difference

Answer 1

Here , a=2 and l and An= 29
Sn = 185
Sn = n/2 [a + l]
185 =n/2 [2+29]
185×2 = 31n
n =370/31
also we know that,
An= a+ (n-1)d
29= 2+ (370-31/31)d
27=(339/31)d
27×31= 339d
837/339=d
d= 2.47
Hopes it's helps you

Answer 2

Answer:

your data is wrong   sum must be 186

then only we find n  

n must an intger  

so  i change the sum

sum =186

Step-by-step explanation:

Here , a=2 and l and An= 29

Sn = 186

Sn = n/2 [a + l]

186 =n/2 [2+29]

186×2 = 31n

n =372/31  =12

also we know that,

An= a+ (n-1)d

29= 2+ (12-1)d

27=(11)d  

d= 27/11