Without adding, find the sum of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19

a)
100

b)
64

c)
49

d)
81

Correct answer is option 'A'. Can you explain this answer?

Question

Without adding, find the sum of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19a)100b)64c)49d)81Correct answer is option 'A'. Can you explain this answer?

Answer

Answer

Total consecutive odd numbers = 10

Thus n = 10

Therefore sum = n × n

= 10× 10 = 100

Answer

Sum of consecutive odd numbers

Answer

Because the formula of sum of consecutive odd numb

ers = n2(n square)

Answer

ANSWER IS A BECAUSE THE NUMBER COMES 10 TIMES

Answer

Solution:

To find the sum of the given series, we can use the formula for the sum of an arithmetic series.

Formula: Sum of n terms of an arithmetic series = (n/2) x [2a + (n-1)d]

where a is the first term, d is the common difference, and n is the number of terms.

In this case, we know that:

a = 1 (the first term)
d = 2 (the common difference between consecutive terms)
n = 10 (the number of terms)

Using the formula, we can substitute these values and simplify:

Sum = (10/2) x [2(1) + (10-1)(2)]
= 5 x [2 + 18]
= 5 x 20
= 100

Therefore, the sum of the given series is 100.

Answer: a) 100

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