Question

The sum of 2nd term and 30th term of an arithematic sequence is 50
a) what is the sum of 1st term and 31st term?​

Answer 1

Answer:

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Answer 2

Answer:

The sum of 1st term and 31st term of the A.P is 50.

Step-by-step explanation:

 

Let the first term be 'a' and common difference be 'd'.

nth term of an A.P is given by,

Sum of 2nd and 30th term is 50.

a + (2 – 1)d + a + (30 – 1)d = 50

a + d + a + 29d = 50

2a + 30d = 50

________________  

We've to find the sum of 1st and 31st terms.

= a + a + (31 – 1)d

= a + a + 30d

= 2a + 30d

= 50

Therefore, the sum of 1st term and 31st term of the A.P is 50.