Let S -10082-10072-10062-10052-10042- 10032- 62-52-42-32-22-12- then-Note- 1009 is a prime number-A- S is divisible by 67B- S is divisible by 5C- The number of factors of S is 24D- The number of factors of S is 16

You visited us 47 times! Enjoying our articles? Unlock Full Access!

Sum of n Terms

Let S =10082+...

Question

Let $S = 1008^{2} + 1007^{2} + 1006^{2} - 1005^{2} - 1004^{2} - 1003^{2} + \dots 6^{2} + 5^{2} + 4^{2} - 3^{2} - 2^{2} - 1^{2}$ , then

[Note: $1009$ is a prime number]

S

is divisible by

67

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

S

is divisible by

5

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

The number of factors of

S

24

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

The number of factors of

S

16

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

S = 1008^{2} + 1007^{2} + 1006^{2} - 1005^{2} - 1004^{2} - 1003^{2} + \dots 6^{2} + 5^{2} + 4^{2} - 3^{2} - 2^{2} - 1^{2}

1009

α

x^{2} - x + 1 = 0.

S = {(α + \frac{1}{α})}^{2} + {(α^{2} + \frac{1}{α^{2}})}^{2} + {(α^{3} + \frac{1}{α^{3}})}^{2} + \dots + {(α^{100} + \frac{1}{α^{100}})}^{2} .

If a number 'x' is divisible by another number 'y', then 'x' is also divisible by all the prime factors of 'y'.

T

F

(i)

(i i)

(i i i)

(i v)

2

Join BYJU'S Learning Program