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  • Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: a n minus 1 ^ n - 1 5 ^ n + 1

5. Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: 

     a _ n = ( -1) ^{n-1} 5 ^{n+1}

Answers (1)

best_answer

Given : a _ n = ( -1) ^{n-1} 5 ^{n+1}

a _ 1 = ( -1) ^{1-1} 5 ^{1+1}=(-1)^{0}.5^2=25

a _ 2 = ( -1) ^{2-1} 5 ^{2+1}=(-1)^{1}.5^3=-125

a _ 3 = ( -1) ^{3-1} 5 ^{3+1}=(-1)^{2}.5^4= 625

a _ 4 = ( -1) ^{4-1} 5 ^{4+1}=(-1)^{3}.5^5= -3125

a _ 5 = ( -1) ^{5-1} 5 ^{5+1}=(-1)^{4}.5^6= 15625

Therefore, the required number of terms =25,-125,625,-3125,15625

Posted by

seema garhwal

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