Find the 100th term of following sequence
10,20,30
Please give me the answer fast and i will mark them as brainliest
Answers
Answer:
50500
Step-by-step explanation:
The sequence is an Arithmetic Sequence (A.P). Applying the general formula for finding the sum of an AP
Sn = [n/2][2a + (n - 1)d]. Or
Sn = [n/2][a + l]
Where,
n = no. of terms in the sequence, a = the first term in the sequence, d = the common difference, and L = the last term of the sequence.
Since the last term is given in the question, we make use of the second formula….
Sn = [n/2][a + l]
a = 10, d = 10 (i.e. 20–10=30–20=40–30=…..), n = 100 (i.e. 1000/10), and l = 1000
So,
Sn = [100/2][10 + 1000]
Sn = [50][1010]
Sn = 50500
Therefore, the sum of the sequence is 50500
Answer:
Sequence is 10, 20,30,...
Step-by-step explanation:
here , a =10
d = 10
n = 100
As we know an = a + (n -1) d
a100 = 10+ (100-1) 10 = 10 + 99×10= 10+990=1000
[a100 = 100th term ]