Suppose in a proof of a summation formula 1+5+25+...+5^k -1=1/4 (5^k -1) by mathematical induction, you show the formula valid for L=1 and assume that it is valid for L=k. What is the next equation in the induction step of this proof? Please help! Will give best answer!

Question

Suppose in a proof of a summation formula 1+5+25+...+5^k  -1=1/4 (5^k -1) by mathematical induction, you show the formula valid for L=1 and assume that it is valid for L=k. What is the next equation in the induction step of this proof? Please help! Will give best answer!

anonymous · Answer

Is it a written response or multiple choice?

anonymous · Answer

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anonymous · Answer

multiple choice. im writing them out now

anonymous · Answer

k

anonymous · Answer

Where are the answers? :?

anonymous · Answer

a 1+5+25+...+5^k-1 +5^k+1-1 = 1/4(5^k  -1) +1/4(5^k+1  -1)
b 1+5+25+...+5^k +5^k+1 = 1/4(5^k   -1)+5^k+1-1

anonymous · Answer

are there more?

anonymous · Answer

yes they just take forever to write so hold on

anonymous · Answer

ok lol

anonymous · Answer

c 1+5+25+...+5^k-1 +5^k+1-1 =1/4 (5^k  -1) + 5^k+1-1
d 1+5+25+...+5^k-1 +5^k+1-1 = 1/4 (5^k+1  -1) + 5^k+1-1

anonymous · Answer

ok the anser is c. i think im not so sure

anonymous · Answer

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anonymous · Answer

why do you think that?

anonymous · Answer

well because i just think so...

anonymous · Answer

im not going to become a fan, if you don't actually help me