Question

write the 6th term of the arithmetic sequence 1,26,49,73,97,.....
how many perfect square term are their inthe arithmetic sequence 97,73,49......​

Answer 1

Answer:

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Step-by-step explanation:

Question must be: write the 6th term of the arithmetic sequence 1,25,49,73,97,.....

a1 + 24 = a2

a2 + 24 = a3

a3 + 24 = a4

a4 + 24 = a5

a5 + 24 = a6

∴ 97 + 24 = 121

The perfect square numbers are 1, 4, 9, 16, ..........

Hence the given sequence is 97, 73, 49,....

From the above sequence, the perfect square numbers are 49, 25, and 1.

∴ The number of perfect square terms are 3.