Find the number of terms and the common difference, if the first term is 5 and the last term is 24 and sum is 290?
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Step-by-step explanation:
Sn = n/2 (a + l ) where n = no of terms, a = first term, l = last term
=> 290 = n/2 (5 + 24)
290 = n/2 × 29
29n = 290 × 2
29n = 580
n = 580/29
n = 20 terms
To find common difference
An = a + (n-1) d
24 = 5 + (20-1)d
24 - 5 = 19d
19 = 19d
d =1
Common difference = 1
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