Find the common difference of am AP: −225,−425,−625,−825,.....

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Given sequence is,−225,−425,−625,−825,...…first term of this A.P is  a1​=−225second term of this A.P is  a2​=−425third term of this A.P is  a3​=−625fourth term of this A.P is  a4​=−825the condition for an sequence to be an A.P is their must be a common difference (i.e.,d=an+1​−an​)putting n=1 in above equationd=a2​−a1​=(−425)−(−225)=−200putting n=2 in above equationd=a3​−a2​=(−625)−(−425)=−200putting n=3 in above equationd=a4​−a3​=(−825)−(−625)=−200as we can see we get a  common difference d=−200 for this sequencehence this sequence forms  an A.Pwith first term a1​=−225 andcommon difference d=−200

Question Text	Find the common difference of am AP: $- 225, - 425, - 625, - 825, .....$
Answer Type	Text solution:1
Upvotes	150

Find the common difference of am AP: $- 225, - 425, - 625, - 825, .....$

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