find the sum of all natural numbers between 1 and 145 which are divisible by 4
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Answer:
Step-by-step explanation:
Natural numbers between 1 to 145 divisible by 4 are
4,8,12.........144
The given sequence is an AP
Where a = 4
D=4
tn = 144
Since we know that ,
tn = a+(n-1) d
144=4+(n-1)4
144= 4+4n-4
144 =4n
N=144÷4
n=36
Since we know that
Sn=n÷2 [ t1 + tn ]
S 36 = 36÷2 [ 4 + 144 ]
S36 = 18 × 148
S36 = 2664
Sum of all natural numbers between 1 to 145 divisible by 4 is 2664
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