The sum of the first 10 terms of an arithmetic progression is 120 and the sum of first twenty is 840. find sum of first 30 terms

The sum of first 30 terms of the arithmetic progression is 2160.

Explanation:

For an arithmetic progression, the sum of first terms with first term as and common difference is given as:

Now, it is given that:

Now, plug in these values and frame two equations in

Now, we solve equations (1) and (2) for . Subtract equation (1) from equation (2). This gives,

Now, plug in the value of in equation (1) and solve for .

Plug in the values of in the sum formula to find the sum of first 30 terms.

Now, the sum of first 30 terms is given as:

Therefore, the sum of first 30 terms of the arithmetic progression is 2160.

explanation: it gains negative electrons, therefore becoming negatively charged. as charge cannot be created, nor destroyed, only transferred, this leaves the wool positive. now that they have opposite charges, the two items attract.

a pan containing water is placed in a positio n where it is exposed to a 10 mile per hour wind. the pan contains a uniform depth of 1.27 cm of water, is quite wide, and has a length of 2.44 m in the wind direction. the water in the pan is at a constant temperature of 15.5 °c.