Q. 24.0( 2 Votes )

# Find the indicate

Answer :

(i) Here, a_{n} =

For n = 7, a_{7} = = =

For n = 9, a_{9} = = =

(ii) Here, a_{n} = (-1)^{n} 2^{n + 3} (n + 1)

For n = 5, a_{5} = (-1)^{5} 2^{5 + 3} (5 + 1) = (-1) 2^{8} (6) = -6 (256) = -1536

For n = 8, a_{8} = (-1)^{8} 2^{8 + 3} (8 + 1) = (1) 2^{11} (9) = 9 (2048)

= 18432

(iii) Here, a_{n} = 2n^{2} – 3n + 1

For n = 5, a_{5} = 2(5)^{2} – 3(5) + 1 = 2(25) – 15 + 1 = 50 – 15 + 1

= 36

For n = 7, a_{7} = 2(7)^{2} – 3(7) + 1 = 2(49) – 15 + 1 = 98 – 21 + 1

= 78

(iv) Here, a_{n} = (-1)^{n} (1 – n + n^{2})

For n = 5, a_{5} = (-1)^{5} (1 – 5 + 5^{2}) = (-1) (1 – 5 + 25) = (-1) (21)

= -21

For n = 8, a_{5} = (-1)^{8} (1 – 8 + 8^{2}) = (1) (1 – 8 + 64) = (1) (57)

= 57

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