Question

if the first term of an arithemetic progression is 10 and common difference is -3 then 11th term of the progression is
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Answer 1

Answer:

-20 is the correct answer

Answer 2

Given :-

• First term of an arithmetic progression (a) = 10.

• Common difference (d) = -3

To Find :-

• 11th term of the arithmetic progression.

Solution :-

We know that,

The nth term of arithmetic progression is;

$\sf \red \bigstar \: { a_n = a + (n - 1)d}$

Where,

• a = First term

• d = Common difference

• n = number of terms

• $\sf{a_n}$ = nth term

[ Putting values ]

$\implies \sf \: a_{11 }= 10 + (11 - 1) \times - 3$

$\implies \sf \: a_{11 }=10 + 10 \times - 3$

$\implies \sf \: a_{11 }=10 - 30$

$\implies \sf \: a_{11 }= - 20 \: \green \bigstar$

Hence,

• The 11th term of an arithmetic progression is -20.