Question

For a given A.P, the first term is -4 and the common difference is -5. Then the 12th term of the A.P. is _________ *

 For a given A.P, the first term is -4 and the common difference is -5. Then the 12th term of the A.P. is _________ *

​

Answer 1

Step-by-step explanation:

a=-4,d=-5

t12= -4+(12-1)-5

t 12 = -4+(-65)

t12= -69 .

Answer 2

Given:

• First term (a) = -4

• Common difference (d) = -5

• Term (n) = 12

To Find:

• The 12th term of Arithmetic Progression.

Formula used:

• $\mathtt{a_n = a + (n - 1) \: d}$

Solution:

Substituting values,

$\\ \longrightarrow\bf{a_12= - 4 + (12 - 1) \times ( - 5)} \\ \\ \longrightarrow\bf{a_12 = - 4 + 11 \times ( - 5)} \\ \\ \longrightarrow\bf{a_12 = - 4 - 55} \\ \\ \longrightarrow\bf{a_12 = - 59}$

Thus,

$\therefore$ The 12th term of A.P is -59.