Answer:
6
Step-by-step explanation:
a^2 + 8^2 = 10^2
a^2 + 64 = 100
a^2 = 36
sq root of a = sq root of 36
a = 6
Answer:
175
Step-by-step explanation:
a30 = a1 + f × (n-1)
f= difference between numbers
Answer:
The sum of the first 650 terms of the given arithmetic sequence is 2,322,775
Step-by-step explanation:
The first term here is 4
while the nth term would be ai = a(i-1) + 11
Kindly note that i and 1 are subscript of a
Mathematically, the sum of n terms of an arithmetic sequence can be calculated using the formula
Sn = n/2[2a + (n-1)d)
Here, our n is 650, a is 4, d is the difference between two successive terms which is 11.
Plugging these values, we have
Sn = (650/2) (2(4) + (650-1)11)
Sn = 325(8 + 7,139)
Sn = 325(7,147)
Sn = 2,322,775