Question

Third term of an arithmetic sequence is 22, amd its 10 th term is 43

a) What is the common difference ?

b) What is the first term of this sequence ?

c) Write the algebric form of this sequence ?​

Answer 1

Answer:

third term=a+2d=22

tenth term=a+9d=43

=> (a+9d)-(a+2d)=43-22

=> 7d=21 => d=7.

a+2(7)=23 => a=9

therefore,

1. common difference=7
2. first term=9
3. algebraic form is a+2d

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