Question

Which is value is expression 1+2+3+4+5+6+7+8+9+10 +40+36+32+28+24+20+16+12+8+4

Answer 1

Answer:

according to your question answer will be 275

Answer 2

The sum of the given expression = 275

Step-by-step explanation:

The given expression:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 40 + 36 + 32 + 28 + 24 + 20 + 16 + 12 + 8 + 4

To find, the sum of the given expression = ?

∴ (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10) + (40 + 36 + 32 + 28 + 24 + 20 + 16 + 12 + 8 + 4)

= (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10) + (4 + 8 + 12 + 16 + 20 + 24 + 28 + 32 + 36 + 40)   ...... (1)

∴ 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 are in AP.

Here, first term (a) = 1, last term(l) = 10, number of terms(n) = 10

Sum $=\dfrac{n}{2}(a+l)$

$=\dfrac{10}{2}(1+10)$

$=5\times 11=55$

Also,

4 + 8 + 12 + 16 + 20 + 24 + 28 + 32 + 36 + 40 are in AP.

Here, first term (a) = 4, last term(l) = 40, number of terms(n) = 10

Sum $=\dfrac{n}{2}(a+l)$

$=\dfrac{10}{2}(4+40)$

$=5\times 44=220$

The sum of the (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10) + (40 + 36 + 32 + 28 + 24 + 20 + 16 + 12 + 8 + 4)

= 55 + 220 = 275

Thus, the sum of the given expression = 275